Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290ek |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-1736129780 = -1 · 22 · 5 · 72 · 116 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,300,265] |
[a1,a2,a3,a4,a6] |
Generators |
[70:445:8] |
Generators of the group modulo torsion |
j |
34391/20 |
j-invariant |
L |
7.6197449882052 |
L(r)(E,1)/r! |
Ω |
0.89893524550103 |
Real period |
R |
2.1191028569946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290cl1 490d1 |
Quadratic twists by: -7 -11 |