Atkin-Lehner |
2+ 3+ 19- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
92112b |
Isogeny class |
Conductor |
92112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-26368860973824 = -1 · 28 · 312 · 19 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 1 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1879,-245691] |
[a1,a2,a3,a4,a6] |
j |
2864395191296/103003363179 |
j-invariant |
L |
1.2866917519449 |
L(r)(E,1)/r! |
Ω |
0.32167297257635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46056a1 |
Quadratic twists by: -4 |