Atkin-Lehner |
2- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
118720v |
Isogeny class |
Conductor |
118720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
88064 |
Modular degree for the optimal curve |
Δ |
3257676800 = 210 · 52 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -4 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1832,-30056] |
[a1,a2,a3,a4,a6] |
Generators |
[674:5145:8] |
Generators of the group modulo torsion |
j |
664049055744/3181325 |
j-invariant |
L |
4.8563151710019 |
L(r)(E,1)/r! |
Ω |
0.72995049042641 |
Real period |
R |
3.3264689402195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997990224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118720j1 29680b1 |
Quadratic twists by: -4 8 |