Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944bl |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
10601055387648 = 218 · 37 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15843,-751390] |
[a1,a2,a3,a4,a6] |
j |
147281603041/3550272 |
j-invariant |
L |
3.4093228108544 |
L(r)(E,1)/r! |
Ω |
0.42616535240595 |
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 |
8118j1 21648v1 |
Quadratic twists by: -4 -3 |