Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518c |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-717673533588 = -1 · 22 · 33 · 118 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1248,-37372] |
[a1,a2,a3,a4,a6] |
Generators |
[91:862:1] |
Generators of the group modulo torsion |
j |
37125/124 |
j-invariant |
L |
5.5053266973062 |
L(r)(E,1)/r! |
Ω |
0.46059434109557 |
Real period |
R |
0.99605484453149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67518bd1 67518be1 |
Quadratic twists by: -3 -11 |