Atkin-Lehner |
2- 5+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85550v |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
199200 |
Modular degree for the optimal curve |
Δ |
-968126232800 = -1 · 25 · 52 · 295 · 59 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 2 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27853,1778211] |
[a1,a2,a3,a4,a6] |
Generators |
[-419497:1142224:2197] |
Generators of the group modulo torsion |
j |
-95587392649924345/38725049312 |
j-invariant |
L |
8.6220045522155 |
L(r)(E,1)/r! |
Ω |
0.86572541181403 |
Real period |
R |
9.9592831988567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004074 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
85550m2 |
Quadratic twists by: 5 |