Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
76296d |
Isogeny class |
Conductor |
76296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
594613757371392 = 210 · 37 · 11 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 11- 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2316720,-1356473124] |
[a1,a2,a3,a4,a6] |
j |
55635379958596/24057 |
j-invariant |
L |
0.97897399656539 |
L(r)(E,1)/r! |
Ω |
0.12237174790312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
264d1 |
Quadratic twists by: 17 |