Atkin-Lehner |
2+ 3- 11- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77418m |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1499136 |
Modular degree for the optimal curve |
Δ |
-796789297914052608 = -1 · 224 · 310 · 112 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,40212,-42844464] |
[a1,a2,a3,a4,a6] |
Generators |
[393:5595:1] |
Generators of the group modulo torsion |
j |
9864092368150847/1092989434724352 |
j-invariant |
L |
3.306656228348 |
L(r)(E,1)/r! |
Ω |
0.1341526937656 |
Real period |
R |
3.0810564947336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003169 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25806k1 |
Quadratic twists by: -3 |