Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19074bk |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-10058825576448 = -1 · 212 · 35 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 1 11- 3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-584,152640] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-590:1] |
Generators of the group modulo torsion |
j |
-263762497/120434688 |
j-invariant |
L |
8.7416890244559 |
L(r)(E,1)/r! |
Ω |
0.5874990189207 |
Real period |
R |
0.041331932020903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57222o1 19074o1 |
Quadratic twists by: -3 17 |