Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5082q |
Isogeny class |
Conductor |
5082 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-55953063936 = -1 · 220 · 32 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,630,9879] |
[a1,a2,a3,a4,a6] |
Generators |
[73:-709:1] |
Generators of the group modulo torsion |
j |
228516153239/462422016 |
j-invariant |
L |
5.0014331591821 |
L(r)(E,1)/r! |
Ω |
0.77186361837032 |
Real period |
R |
0.080996063296484 |
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 |
40656dc1 15246k1 127050dj1 35574db1 |
Quadratic twists by: -4 -3 5 -7 |