Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760cb |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15136325677440000 = 210 · 38 · 54 · 112 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5722347,-5268768586] |
[a1,a2,a3,a4,a6] |
Generators |
[4195:211068:1] |
Generators of the group modulo torsion |
j |
27759957450611359396/20276499375 |
j-invariant |
L |
8.2603166841802 |
L(r)(E,1)/r! |
Ω |
0.097612632713042 |
Real period |
R |
5.2889649233397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920a2 |
Quadratic twists by: -3 |