Atkin-Lehner |
2- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44198bc |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
6406215818464 = 25 · 79 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 1 1 7- 11- -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-301890,-63869212] |
[a1,a2,a3,a4,a6] |
j |
75402826203223/158752 |
j-invariant |
L |
4.0734971411205 |
L(r)(E,1)/r! |
Ω |
0.20367485706088 |
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 |
44198bh1 |
Quadratic twists by: -7 |