Atkin-Lehner |
2- 3+ 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57720t |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
692640000 = 28 · 32 · 54 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-260,1092] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:30:1] [-11:50:1] |
Generators of the group modulo torsion |
j |
7622072656/2705625 |
j-invariant |
L |
8.8187286830818 |
L(r)(E,1)/r! |
Ω |
1.4767706307096 |
Real period |
R |
0.74645382462453 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440bb1 |
Quadratic twists by: -4 |