Atkin-Lehner |
2+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19136o |
Isogeny class |
Conductor |
19136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-236291920756736 = -1 · 235 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 1 1 -1 6 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,255,-739489] |
[a1,a2,a3,a4,a6] |
Generators |
[28505:418876:125] |
Generators of the group modulo torsion |
j |
6967871/901382144 |
j-invariant |
L |
6.7905035034219 |
L(r)(E,1)/r! |
Ω |
0.25620366802602 |
Real period |
R |
6.626079512972 |
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 |
19136y1 598d1 |
Quadratic twists by: -4 8 |