Atkin-Lehner |
2+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
73304i |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1344000 |
Modular degree for the optimal curve |
Δ |
71775476403820112 = 24 · 79 · 113 · 174 |
Discriminant |
Eigenvalues |
2+ -2 -4 7- 11+ -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-119135,-9224426] |
[a1,a2,a3,a4,a6] |
j |
289629718528/111166451 |
j-invariant |
L |
0.53089510984326 |
L(r)(E,1)/r! |
Ω |
0.26544754857058 |
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 |
73304o1 |
Quadratic twists by: -7 |