Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
7950b |
Isogeny class |
Conductor |
7950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
4829625000000 = 26 · 36 · 59 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5250,-103500] |
[a1,a2,a3,a4,a6] |
j |
1024497361441/309096000 |
j-invariant |
L |
1.1479228723803 |
L(r)(E,1)/r! |
Ω |
0.57396143619015 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63600da1 23850cg1 1590u1 |
Quadratic twists by: -4 -3 5 |