Atkin-Lehner |
2+ 3- 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154bk |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2903047361246894652 = 22 · 320 · 73 · 192 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-110711727,-448344385727] |
[a1,a2,a3,a4,a6] |
Generators |
[-48594:24871:8] |
Generators of the group modulo torsion |
j |
205862414530202855028528625/3982232319954588 |
j-invariant |
L |
3.6436061292012 |
L(r)(E,1)/r! |
Ω |
0.046542654453447 |
Real period |
R |
3.2618878872134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32718h2 |
Quadratic twists by: -3 |