Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400cc |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-593920000000000 = -1 · 221 · 510 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -6 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19167,569537] |
[a1,a2,a3,a4,a6] |
Generators |
[636112:439518051:571787] |
Generators of the group modulo torsion |
j |
304175/232 |
j-invariant |
L |
9.1782247090454 |
L(r)(E,1)/r! |
Ω |
0.33033338597171 |
Real period |
R |
13.892366165205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400w1 11600v1 46400cr1 |
Quadratic twists by: -4 8 5 |