Atkin-Lehner |
2- 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32364h |
Isogeny class |
Conductor |
32364 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1941504 |
Modular degree for the optimal curve |
Δ |
7222162582653696 = 28 · 322 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 0 -4 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-237431703,1408173524926] |
[a1,a2,a3,a4,a6] |
j |
7931810705276935648987216/38699002179 |
j-invariant |
L |
0.4034326895749 |
L(r)(E,1)/r! |
Ω |
0.20171634479058 |
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 |
129456bd1 10788f1 |
Quadratic twists by: -4 -3 |