Atkin-Lehner |
3- 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34713i |
Isogeny class |
Conductor |
34713 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-1099291388139 = -1 · 37 · 7 · 195 · 29 |
Discriminant |
Eigenvalues |
0 3- 3 7- -5 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2004,36774] |
[a1,a2,a3,a4,a6] |
j |
1220925980672/1507944291 |
j-invariant |
L |
2.3355694956016 |
L(r)(E,1)/r! |
Ω |
0.58389237390433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11571g1 |
Quadratic twists by: -3 |