Atkin-Lehner |
2+ 3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320r |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
5679360 = 28 · 32 · 5 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7396,-247300] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1344:1] |
Generators of the group modulo torsion |
j |
174796677396304/22185 |
j-invariant |
L |
8.3102248025917 |
L(r)(E,1)/r! |
Ω |
0.51480818018193 |
Real period |
R |
4.0355928331614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999966362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59160o1 |
Quadratic twists by: -4 |