Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656dt |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
7526400 |
Modular degree for the optimal curve |
Δ |
2.0089395740926E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15125728,-21596134540] |
[a1,a2,a3,a4,a6] |
Generators |
[-164956:1058877:64] |
Generators of the group modulo torsion |
j |
2315422727572375/121541492736 |
j-invariant |
L |
9.6453881131013 |
L(r)(E,1)/r! |
Ω |
0.076804411688632 |
Real period |
R |
8.9702697459674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15582r1 124656cm1 |
Quadratic twists by: -4 -7 |