Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800gm |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
1.8368716131533E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64425633,-188075023137] |
[a1,a2,a3,a4,a6] |
Generators |
[25834323878613:14077668850925568:86938307] |
Generators of the group modulo torsion |
j |
7220044159551112609/448454983680000 |
j-invariant |
L |
9.0911718327136 |
L(r)(E,1)/r! |
Ω |
0.053495970343839 |
Real period |
R |
16.994124556073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800bl1 13200bt1 10560bv1 |
Quadratic twists by: -4 8 5 |