Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3920bi |
Isogeny class |
Conductor |
3920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-175616000 = -1 · 212 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3 5- 7- -1 -3 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112,-784] |
[a1,a2,a3,a4,a6] |
j |
-110592/125 |
j-invariant |
L |
4.21705329701 |
L(r)(E,1)/r! |
Ω |
0.70284221616834 |
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 |
245a1 15680cv1 35280ea1 19600da1 |
Quadratic twists by: -4 8 -3 5 |