Atkin-Lehner |
2+ 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
62304k |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-177010871742144 = -1 · 26 · 318 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2958,638100] |
[a1,a2,a3,a4,a6] |
Generators |
[6:810:1] |
Generators of the group modulo torsion |
j |
44708635815488/2765794870971 |
j-invariant |
L |
9.0665602563602 |
L(r)(E,1)/r! |
Ω |
0.43464913319182 |
Real period |
R |
1.1588606845966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62304e1 124608cm2 |
Quadratic twists by: -4 8 |