Atkin-Lehner |
2- 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
74340n |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
31150080 |
Modular degree for the optimal curve |
Δ |
-1.7090341700729E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111013068,-2039308996867] |
[a1,a2,a3,a4,a6] |
j |
-12971748402759257587204096/146522133922576904296875 |
j-invariant |
L |
0.32155788209119 |
L(r)(E,1)/r! |
Ω |
0.020097369636992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780g1 |
Quadratic twists by: -3 |