Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050w |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14002560 |
Modular degree for the optimal curve |
Δ |
-2.3648873191003E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 2 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20977917,-43756656059] |
[a1,a2,a3,a4,a6] |
j |
-74168622330075/17179869184 |
j-invariant |
L |
3.4843585177194 |
L(r)(E,1)/r! |
Ω |
0.034843585489529 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050ea1 76050dt1 76050eb1 |
Quadratic twists by: -3 5 13 |