Atkin-Lehner |
5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
124025h |
Isogeny class |
Conductor |
124025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1393920 |
Modular degree for the optimal curve |
Δ |
429136431689453125 = 511 · 118 · 41 |
Discriminant |
Eigenvalues |
0 -1 5+ -3 11- 3 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1286633,-560419707] |
[a1,a2,a3,a4,a6] |
Generators |
[45129:1194049:27] |
Generators of the group modulo torsion |
j |
70327730176/128125 |
j-invariant |
L |
3.5883604518719 |
L(r)(E,1)/r! |
Ω |
0.14176968762466 |
Real period |
R |
6.3277992933235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998194381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24805f1 124025c1 |
Quadratic twists by: 5 -11 |