Atkin-Lehner |
2- 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
94302bk |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
5061888 |
Modular degree for the optimal curve |
Δ |
4077460367153012736 = 213 · 39 · 138 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 2 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6039416,-5710351877] |
[a1,a2,a3,a4,a6] |
j |
1517296197339/253952 |
j-invariant |
L |
7.5118996517936 |
L(r)(E,1)/r! |
Ω |
0.096306408167465 |
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 |
94302e1 94302k1 |
Quadratic twists by: -3 13 |