Atkin-Lehner |
2- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22100l |
Isogeny class |
Conductor |
22100 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
590400 |
Modular degree for the optimal curve |
Δ |
10730367700000000 = 28 · 58 · 135 · 172 |
Discriminant |
Eigenvalues |
2- 1 5- 4 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11040333,14115886463] |
[a1,a2,a3,a4,a6] |
j |
1488230737123778560/107303677 |
j-invariant |
L |
3.0783345683935 |
L(r)(E,1)/r! |
Ω |
0.30783345683935 |
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 |
88400cb1 22100d1 |
Quadratic twists by: -4 5 |