Atkin-Lehner |
2- 3- 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
32538s |
Isogeny class |
Conductor |
32538 |
Conductor |
∏ cp |
57 |
Product of Tamagawa factors cp |
deg |
6064800 |
Modular degree for the optimal curve |
Δ |
-8.7718904393588E+21 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 11+ 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11348591,15388573113] |
[a1,a2,a3,a4,a6] |
j |
-161640262796591350979799409/8771890439358811471872 |
j-invariant |
L |
7.3349237105317 |
L(r)(E,1)/r! |
Ω |
0.12868287211474 |
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 |
97614w1 |
Quadratic twists by: -3 |