Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760br |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2162688 |
Modular degree for the optimal curve |
Δ |
4750914222006480 = 24 · 312 · 5 · 112 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1326018,-587713043] |
[a1,a2,a3,a4,a6] |
Generators |
[6389:501732:1] |
Generators of the group modulo torsion |
j |
22106727577532471296/407314319445 |
j-invariant |
L |
7.3876411900599 |
L(r)(E,1)/r! |
Ω |
0.14068982192432 |
Real period |
R |
6.5637665659075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920s1 |
Quadratic twists by: -3 |