Atkin-Lehner |
2+ 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
62608a |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-5104805888 = -1 · 211 · 73 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ 1 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13664,619360] |
[a1,a2,a3,a4,a6] |
Generators |
[68:4:1] [-12:884:1] |
Generators of the group modulo torsion |
j |
-137771410053314/2492581 |
j-invariant |
L |
7.1781144868051 |
L(r)(E,1)/r! |
Ω |
1.2529100260233 |
Real period |
R |
0.71614424995788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31304e1 |
Quadratic twists by: -4 |