Atkin-Lehner |
3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19941j |
Isogeny class |
Conductor |
19941 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
15046884835527717 = 313 · 177 · 23 |
Discriminant |
Eigenvalues |
0 3- -2 -5 -2 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-152399,22074941] |
[a1,a2,a3,a4,a6] |
Generators |
[283:1300:1] |
Generators of the group modulo torsion |
j |
16217331171328/623380293 |
j-invariant |
L |
2.6039325143281 |
L(r)(E,1)/r! |
Ω |
0.39076438068201 |
Real period |
R |
0.12814787567931 |
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 |
59823c1 1173b1 |
Quadratic twists by: -3 17 |