Atkin-Lehner |
2+ 3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576u |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26368 |
Modular degree for the optimal curve |
Δ |
-3551856 = -1 · 24 · 3 · 7 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-140,-693] |
[a1,a2,a3,a4,a6] |
Generators |
[48609:393173:729] |
Generators of the group modulo torsion |
j |
-19102326016/221991 |
j-invariant |
L |
9.6748552293093 |
L(r)(E,1)/r! |
Ω |
0.69307260349835 |
Real period |
R |
6.9796837744894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57288a1 |
Quadratic twists by: -4 |