Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7650bn |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-91800 = -1 · 23 · 33 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3440,78507] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-9:1] |
Generators of the group modulo torsion |
j |
-6667713086715/136 |
j-invariant |
L |
5.8193637981047 |
L(r)(E,1)/r! |
Ω |
2.4423119063434 |
Real period |
R |
0.39712125377257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200dp1 7650a2 7650g1 |
Quadratic twists by: -4 -3 5 |