Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
8040j |
Isogeny class |
Conductor |
8040 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
15232 |
Modular degree for the optimal curve |
Δ |
3751142400 = 210 · 37 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48856,-4172800] |
[a1,a2,a3,a4,a6] |
j |
12594657614152036/3663225 |
j-invariant |
L |
2.2478502978617 |
L(r)(E,1)/r! |
Ω |
0.3211214711231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16080a1 64320j1 24120l1 40200a1 |
Quadratic twists by: -4 8 -3 5 |