Atkin-Lehner |
2+ 3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410a |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
620160 |
Modular degree for the optimal curve |
Δ |
-5232339763200000 = -1 · 217 · 39 · 55 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 11+ 1 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13620,-3429424] |
[a1,a2,a3,a4,a6] |
Generators |
[45745:273358:343] |
Generators of the group modulo torsion |
j |
14195340231597/265830400000 |
j-invariant |
L |
3.2530850867558 |
L(r)(E,1)/r! |
Ω |
0.20939283627044 |
Real period |
R |
7.7678996685065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58410v1 |
Quadratic twists by: -3 |