Atkin-Lehner |
2- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
49984p |
Isogeny class |
Conductor |
49984 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
6048064 = 26 · 113 · 71 |
Discriminant |
Eigenvalues |
2- 0 1 -3 11- -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3232,-70722] |
[a1,a2,a3,a4,a6] |
Generators |
[-4105:33:125] |
Generators of the group modulo torsion |
j |
58338840674304/94501 |
j-invariant |
L |
4.8175966432699 |
L(r)(E,1)/r! |
Ω |
0.63318666336501 |
Real period |
R |
2.5361645161956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49984e1 12496d1 |
Quadratic twists by: -4 8 |