Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520l |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
-224296960000000 = -1 · 221 · 57 · 372 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 5 -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1936,720660] |
[a1,a2,a3,a4,a6] |
j |
-143186041/40000000 |
j-invariant |
L |
0.9104586963241 |
L(r)(E,1)/r! |
Ω |
0.45522900674526 |
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 |
13690g1 109520z1 |
Quadratic twists by: -4 37 |