Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290a |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
149862307246093750 = 2 · 510 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 11+ 7 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-164519,17672092] |
[a1,a2,a3,a4,a6] |
Generators |
[736:-17556:1] |
Generators of the group modulo torsion |
j |
64180888499/19531250 |
j-invariant |
L |
5.4476819594012 |
L(r)(E,1)/r! |
Ω |
0.30151785128595 |
Real period |
R |
1.5056272611812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290bk1 59290cj1 |
Quadratic twists by: -7 -11 |