Atkin-Lehner |
2+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
50410g |
Isogeny class |
Conductor |
50410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
45475600791955000 = 23 · 54 · 717 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 2 1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-138732,16980664] |
[a1,a2,a3,a4,a6] |
Generators |
[325:2358:1] |
Generators of the group modulo torsion |
j |
2305199161/355000 |
j-invariant |
L |
3.0782339345842 |
L(r)(E,1)/r! |
Ω |
0.34411401412813 |
Real period |
R |
0.55908685207426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
710a1 |
Quadratic twists by: -71 |