Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800eb |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
29229255000000 = 26 · 312 · 57 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7908,77562] |
[a1,a2,a3,a4,a6] |
Generators |
[7:150:1] [-646:3423:8] |
Generators of the group modulo torsion |
j |
54698902336/29229255 |
j-invariant |
L |
8.349379552864 |
L(r)(E,1)/r! |
Ω |
0.58006440807591 |
Real period |
R |
14.393883569862 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800gs1 26400t3 10560cc1 |
Quadratic twists by: -4 8 5 |