Atkin-Lehner |
2+ 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83904l |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-3510338210021376 = -1 · 214 · 310 · 193 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 3 -4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2071445,-1148208909] |
[a1,a2,a3,a4,a6] |
Generators |
[1990:51129:1] |
Generators of the group modulo torsion |
j |
-59996263288753291264/214254041139 |
j-invariant |
L |
10.028961578954 |
L(r)(E,1)/r! |
Ω |
0.062921794041095 |
Real period |
R |
2.6564620764607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904z1 5244a1 |
Quadratic twists by: -4 8 |