Atkin-Lehner |
2+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200bg |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
-8576000 = -1 · 210 · 53 · 67 |
Discriminant |
Eigenvalues |
2+ 3 5- -3 2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-460,3800] |
[a1,a2,a3,a4,a6] |
j |
-84098304/67 |
j-invariant |
L |
4.6079921166264 |
L(r)(E,1)/r! |
Ω |
2.3039956000016 |
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 |
107200dp1 13400q1 107200bm1 |
Quadratic twists by: -4 8 5 |