Atkin-Lehner |
2+ 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64272h |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-1145459697408 = -1 · 28 · 32 · 136 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 -2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2620,72044] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:312:1] [-10:312:1] |
Generators of the group modulo torsion |
j |
-7772368294096/4474451943 |
j-invariant |
L |
8.4538254023506 |
L(r)(E,1)/r! |
Ω |
0.80533059780483 |
Real period |
R |
1.7495559019291 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32136b1 |
Quadratic twists by: -4 |