Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525u |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
1.3056214265596E+19 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 11- 3 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-932708,300286568] |
[a1,a2,a3,a4,a6] |
Generators |
[158:12523:1] |
Generators of the group modulo torsion |
j |
5186867200/754677 |
j-invariant |
L |
2.8232441120692 |
L(r)(E,1)/r! |
Ω |
0.2151638027164 |
Real period |
R |
3.2803427854164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63525cg1 5775e1 |
Quadratic twists by: 5 -11 |