Atkin-Lehner |
2+ 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94302k |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
389376 |
Modular degree for the optimal curve |
Δ |
844752789504 = 213 · 39 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 -2 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35736,-2590912] |
[a1,a2,a3,a4,a6] |
j |
1517296197339/253952 |
j-invariant |
L |
0.69447532605531 |
L(r)(E,1)/r! |
Ω |
0.34723769280356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94302br1 94302bk1 |
Quadratic twists by: -3 13 |