Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
76296k |
Isogeny class |
Conductor |
76296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30965760 |
Modular degree for the optimal curve |
Δ |
-1.1217522113284E+27 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 11+ 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-534809913,-5025601030131] |
[a1,a2,a3,a4,a6] |
j |
-2737717077365028736000/181536283769982867 |
j-invariant |
L |
1.1258812292036 |
L(r)(E,1)/r! |
Ω |
0.015637239759723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4488j1 |
Quadratic twists by: 17 |