Atkin-Lehner |
2+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
67280i |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
779520 |
Modular degree for the optimal curve |
Δ |
640315408590080000 = 211 · 54 · 298 |
Discriminant |
Eigenvalues |
2+ 2 5- -3 4 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-235760,-21349408] |
[a1,a2,a3,a4,a6] |
Generators |
[-431:120:1] |
Generators of the group modulo torsion |
j |
1414562/625 |
j-invariant |
L |
9.2707644405722 |
L(r)(E,1)/r! |
Ω |
0.22568346218133 |
Real period |
R |
5.1348270884117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33640i1 67280h1 |
Quadratic twists by: -4 29 |