Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7650u |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
77456250000 = 24 · 36 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1692,-22784] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:71:1] |
Generators of the group modulo torsion |
j |
47045881/6800 |
j-invariant |
L |
3.5604196895624 |
L(r)(E,1)/r! |
Ω |
0.75154544181324 |
Real period |
R |
2.3687321427779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200ft1 850g1 1530k1 |
Quadratic twists by: -4 -3 5 |