Atkin-Lehner |
2+ 5- 31+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
91450h |
Isogeny class |
Conductor |
91450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49632 |
Modular degree for the optimal curve |
Δ |
-70873750 = -1 · 2 · 54 · 312 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- -5 5 3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-317,2291] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:59:1] [13:9:1] |
Generators of the group modulo torsion |
j |
-5646663225/113398 |
j-invariant |
L |
7.2938897220583 |
L(r)(E,1)/r! |
Ω |
1.9476881179646 |
Real period |
R |
1.8724480718729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91450k1 |
Quadratic twists by: 5 |