Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290l |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-1138842320 = -1 · 24 · 5 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11- 0 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124,-1718] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1139:1] |
Generators of the group modulo torsion |
j |
-14641/80 |
j-invariant |
L |
5.285171781661 |
L(r)(E,1)/r! |
Ω |
0.64358246734645 |
Real period |
R |
4.1060563719024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1210f1 59290cw1 |
Quadratic twists by: -7 -11 |