Atkin-Lehner |
2- 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61854o |
Isogeny class |
Conductor |
61854 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-226126348032 = -1 · 28 · 3 · 136 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-257,-23041] |
[a1,a2,a3,a4,a6] |
Generators |
[499:10904:1] |
Generators of the group modulo torsion |
j |
-389017/46848 |
j-invariant |
L |
9.3291543435564 |
L(r)(E,1)/r! |
Ω |
0.44090507244427 |
Real period |
R |
2.6448874504291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
366e1 |
Quadratic twists by: 13 |