Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400bt |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
5259796819200 = 28 · 36 · 52 · 7 · 115 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 3 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6753,-185157] |
[a1,a2,a3,a4,a6] |
j |
5322287088640/821843253 |
j-invariant |
L |
3.1927030693136 |
L(r)(E,1)/r! |
Ω |
0.53211720357606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46200n1 92400bl1 |
Quadratic twists by: -4 5 |