Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040ch |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.9782009430108E+31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8155842123,106919462654822] |
[a1,a2,a3,a4,a6] |
Generators |
[2099078656558441732153324863145793998725019106435939829297408150240584533277711290104481888635482287973416992815023465674237582772989774612354453867770:-463247795046753356400779180272440865781151934489513089841009374978268198788759240087299365734790036166301777349978907265779263691703375836907784802791969:18630431982691339959488040267985210632246437316850787149276280485502598893183749472037758234279038732965482992372491351413094682194715463670553000] |
Generators of the group modulo torsion |
j |
1664865424893526702418/826424127435466125 |
j-invariant |
L |
8.6098310892078 |
L(r)(E,1)/r! |
Ω |
0.018553022166115 |
Real period |
R |
232.03311600987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34680l3 6120z4 |
Quadratic twists by: -3 17 |