Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640n |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
270682560 = 26 · 35 · 5 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1600,25162] |
[a1,a2,a3,a4,a6] |
Generators |
[1866:28043:8] |
Generators of the group modulo torsion |
j |
7082312601664/4229415 |
j-invariant |
L |
5.86746148789 |
L(r)(E,1)/r! |
Ω |
1.7216588614349 |
Real period |
R |
6.8160558625529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640be1 28320t2 |
Quadratic twists by: -4 8 |