Atkin-Lehner |
3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113715bg |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
8390400 |
Modular degree for the optimal curve |
Δ |
-7.5644147593637E+20 |
Discriminant |
Eigenvalues |
2 3- 5- 7- -2 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-637887,-1337712485] |
[a1,a2,a3,a4,a6] |
j |
-122023936/3215625 |
j-invariant |
L |
4.1589682122651 |
L(r)(E,1)/r! |
Ω |
0.069316128706656 |
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 |
37905d1 113715bh1 |
Quadratic twists by: -3 -19 |