Atkin-Lehner |
2- 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69384ba |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-3554609132906496 = -1 · 211 · 36 · 79 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 0 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32160,3616416] |
[a1,a2,a3,a4,a6] |
j |
-15267472418/14752773 |
j-invariant |
L |
4.8605900945313 |
L(r)(E,1)/r! |
Ω |
0.40504917346898 |
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 |
9912j1 |
Quadratic twists by: -7 |