Atkin-Lehner |
2+ 5+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
91120f |
Isogeny class |
Conductor |
91120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63488 |
Modular degree for the optimal curve |
Δ |
-182240000 = -1 · 28 · 54 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 3 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28,652] |
[a1,a2,a3,a4,a6] |
Generators |
[1:25:1] |
Generators of the group modulo torsion |
j |
-9483264/711875 |
j-invariant |
L |
2.9870949512013 |
L(r)(E,1)/r! |
Ω |
1.4839612097923 |
Real period |
R |
1.0064599144592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45560c1 |
Quadratic twists by: -4 |