Atkin-Lehner |
2+ 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656g |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-274803653376 = -1 · 28 · 310 · 73 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -3 0 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-345,-25227] |
[a1,a2,a3,a4,a6] |
Generators |
[68:511:1] [84:729:1] |
Generators of the group modulo torsion |
j |
-51868672/3129597 |
j-invariant |
L |
11.046150967995 |
L(r)(E,1)/r! |
Ω |
0.4299931697509 |
Real period |
R |
6.4222828091029 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328s1 124656z1 |
Quadratic twists by: -4 -7 |