Atkin-Lehner |
3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8379j |
Isogeny class |
Conductor |
8379 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-54974619 = -1 · 310 · 72 · 19 |
Discriminant |
Eigenvalues |
0 3- 2 7- 3 -2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-84,-464] |
[a1,a2,a3,a4,a6] |
j |
-1835008/1539 |
j-invariant |
L |
1.5229776744682 |
L(r)(E,1)/r! |
Ω |
0.76148883723411 |
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 |
2793b1 8379c1 |
Quadratic twists by: -3 -7 |