Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850ga |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
986000202000 = 24 · 311 · 53 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5900,-166273] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:103:1] |
Generators of the group modulo torsion |
j |
249214435757/10820304 |
j-invariant |
L |
6.8301289444924 |
L(r)(E,1)/r! |
Ω |
0.54620555171624 |
Real period |
R |
0.78154287277389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37950bo1 113850cz1 |
Quadratic twists by: -3 5 |