Atkin-Lehner |
3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34713k |
Isogeny class |
Conductor |
34713 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
2.3135155666949E+24 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40882518,69058303191] |
[a1,a2,a3,a4,a6] |
j |
10365949761029660215992673/3173546730720072686553 |
j-invariant |
L |
1.8210023451239 |
L(r)(E,1)/r! |
Ω |
0.075875097713811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571j1 |
Quadratic twists by: -3 |