Atkin-Lehner |
2- 3+ 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410s |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
14051693700 = 22 · 39 · 52 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1028,-11069] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:331:8] |
Generators of the group modulo torsion |
j |
6098396283/713900 |
j-invariant |
L |
7.0241223958105 |
L(r)(E,1)/r! |
Ω |
0.84964949940569 |
Real period |
R |
2.0667705920913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58410d1 |
Quadratic twists by: -3 |