Atkin-Lehner |
2- 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119422h |
Isogeny class |
Conductor |
119422 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-2702877170624 = -1 · 26 · 296 · 71 |
Discriminant |
Eigenvalues |
2- 0 2 0 -6 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-999,-79777] |
[a1,a2,a3,a4,a6] |
Generators |
[30783:1023230:27] |
Generators of the group modulo torsion |
j |
-185193/4544 |
j-invariant |
L |
11.164909950905 |
L(r)(E,1)/r! |
Ω |
0.35006254355155 |
Real period |
R |
5.3156738611879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067782 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
142c1 |
Quadratic twists by: 29 |