Atkin-Lehner |
2- 3- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502bl |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
24084480 |
Modular degree for the optimal curve |
Δ |
-1.0185752850845E+26 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-143542922,820980609225] |
[a1,a2,a3,a4,a6] |
j |
-448684977195253080312124249/139722261328465850990592 |
j-invariant |
L |
1.8083361919331 |
L(r)(E,1)/r! |
Ω |
0.056510506001505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15834c1 |
Quadratic twists by: -3 |