Atkin-Lehner |
2+ 3+ 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410c |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-340050987540 = -1 · 22 · 39 · 5 · 114 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11+ 7 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,66,-28072] |
[a1,a2,a3,a4,a6] |
Generators |
[44:220:1] |
Generators of the group modulo torsion |
j |
1601613/17276380 |
j-invariant |
L |
5.0922398269907 |
L(r)(E,1)/r! |
Ω |
0.44380119704872 |
Real period |
R |
1.434268277331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58410t1 |
Quadratic twists by: -3 |