Atkin-Lehner |
2- 3- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
31302l |
Isogeny class |
Conductor |
31302 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
9184896 |
Modular degree for the optimal curve |
Δ |
-2.2091217704808E+25 |
Discriminant |
Eigenvalues |
2- 3- -2 3 3 5 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69319346,317009357745] |
[a1,a2,a3,a4,a6] |
j |
-50531192563070333260406233/30303453641711290417152 |
j-invariant |
L |
5.2791376814618 |
L(r)(E,1)/r! |
Ω |
0.062846877160246 |
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 |
10434a1 |
Quadratic twists by: -3 |