Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5082a |
Isogeny class |
Conductor |
5082 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
17391920351511552 = 210 · 3 · 74 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-213930,37463892] |
[a1,a2,a3,a4,a6] |
Generators |
[-508:4174:1] |
Generators of the group modulo torsion |
j |
459206250875/7375872 |
j-invariant |
L |
2.3276626678691 |
L(r)(E,1)/r! |
Ω |
0.38996929069265 |
Real period |
R |
2.9844179060033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40656cv1 15246be1 127050ho1 35574u1 |
Quadratic twists by: -4 -3 5 -7 |