Atkin-Lehner |
3- 5+ 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115275p |
Isogeny class |
Conductor |
115275 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
2134938749765625 = 36 · 57 · 294 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-107626,13398023] |
[a1,a2,a3,a4,a6] |
Generators |
[206:25993:8] |
Generators of the group modulo torsion |
j |
8823674615832721/136636079985 |
j-invariant |
L |
7.9773039481673 |
L(r)(E,1)/r! |
Ω |
0.46457970296974 |
Real period |
R |
1.4309177163404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23055f1 |
Quadratic twists by: 5 |