Atkin-Lehner |
2- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
19118h |
Isogeny class |
Conductor |
19118 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
-262279237565312 = -1 · 27 · 1110 · 79 |
Discriminant |
Eigenvalues |
2- 0 0 2 11- -4 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4575,768881] |
[a1,a2,a3,a4,a6] |
j |
408375/10112 |
j-invariant |
L |
2.8998313493324 |
L(r)(E,1)/r! |
Ω |
0.4142616213332 |
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 |
19118a1 |
Quadratic twists by: -11 |