Atkin-Lehner |
2- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
30082g |
Isogeny class |
Conductor |
30082 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-167996479067066 = -1 · 2 · 139 · 892 |
Discriminant |
Eigenvalues |
2- -1 1 -3 0 13+ -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1095,-622991] |
[a1,a2,a3,a4,a6] |
j |
30080231/34804874 |
j-invariant |
L |
1.0671782900263 |
L(r)(E,1)/r! |
Ω |
0.26679457250641 |
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 |
2314b1 |
Quadratic twists by: 13 |