Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650g |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-1434375000 = -1 · 23 · 33 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -6 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-85992,9727416] |
[a1,a2,a3,a4,a6] |
j |
-6667713086715/136 |
j-invariant |
L |
0.7281567259788 |
L(r)(E,1)/r! |
Ω |
1.0922350889682 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
61200ea1 7650bt2 7650bn1 |
Quadratic twists by: -4 -3 5 |