Atkin-Lehner |
2- 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
75166n |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1552320 |
Modular degree for the optimal curve |
Δ |
8082264653048768 = 26 · 78 · 135 · 59 |
Discriminant |
Eigenvalues |
2- 2 4 7+ 2 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-839371,295610041] |
[a1,a2,a3,a4,a6] |
j |
11344916546402929/1402002368 |
j-invariant |
L |
11.979107934628 |
L(r)(E,1)/r! |
Ω |
0.39930359962371 |
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 |
75166p1 |
Quadratic twists by: -7 |