Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840y |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
175776685286400 = 210 · 310 · 52 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15136,321860] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:864:1] [-88:990:1] |
Generators of the group modulo torsion |
j |
374529305411716/171656919225 |
j-invariant |
L |
11.023301225292 |
L(r)(E,1)/r! |
Ω |
0.51133208114612 |
Real period |
R |
1.0779004126506 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999222 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40920c2 |
Quadratic twists by: -4 |