Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7150f |
Isogeny class |
Conductor |
7150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-22463226500000 = -1 · 25 · 56 · 112 · 135 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 11- 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6999,35148] |
[a1,a2,a3,a4,a6] |
j |
2427173723519/1437646496 |
j-invariant |
L |
0.82577066422786 |
L(r)(E,1)/r! |
Ω |
0.41288533211393 |
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 |
57200bb1 64350dp1 286d1 78650cg1 |
Quadratic twists by: -4 -3 5 -11 |