Atkin-Lehner |
3+ 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
77469i |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-42211851003 = -1 · 35 · 73 · 17 · 313 |
Discriminant |
Eigenvalues |
-2 3+ -2 7- 0 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,26,9876] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-109:1] |
Generators of the group modulo torsion |
j |
5451776/123066621 |
j-invariant |
L |
1.7703027559952 |
L(r)(E,1)/r! |
Ω |
0.90283574940298 |
Real period |
R |
0.32680413789902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77469bc1 |
Quadratic twists by: -7 |