Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6510f |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-40687500000 = -1 · 25 · 3 · 59 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -5 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-494,-10624] |
[a1,a2,a3,a4,a6] |
Generators |
[896:26367:1] |
Generators of the group modulo torsion |
j |
-13293525831769/40687500000 |
j-invariant |
L |
3.1877897793785 |
L(r)(E,1)/r! |
Ω |
0.46774898871585 |
Real period |
R |
6.8151719325577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52080bb1 19530cc1 32550bz1 45570l1 |
Quadratic twists by: -4 -3 5 -7 |