Atkin-Lehner |
3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8379b |
Isogeny class |
Conductor |
8379 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
2155902983577 = 39 · 78 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- -2 6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25220,-1533626] |
[a1,a2,a3,a4,a6] |
j |
766060875/931 |
j-invariant |
L |
0.75775065005379 |
L(r)(E,1)/r! |
Ω |
0.3788753250269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8379a1 1197b1 |
Quadratic twists by: -3 -7 |