Atkin-Lehner |
3- 7+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104811n |
Isogeny class |
Conductor |
104811 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
5061409449453 = 35 · 74 · 234 · 31 |
Discriminant |
Eigenvalues |
0 3- 2 7+ 3 4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-57297,-5296966] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:31:1] |
Generators of the group modulo torsion |
j |
8664325951848448/2108042253 |
j-invariant |
L |
9.1661728665491 |
L(r)(E,1)/r! |
Ω |
0.30858321042317 |
Real period |
R |
0.9901351891685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104811b1 |
Quadratic twists by: -7 |