Atkin-Lehner |
2- 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
72324g |
Isogeny class |
Conductor |
72324 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-48829614017925888 = -1 · 28 · 39 · 78 · 412 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 0 -1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90552,-14934220] |
[a1,a2,a3,a4,a6] |
j |
-76324864/45387 |
j-invariant |
L |
1.0716738943872 |
L(r)(E,1)/r! |
Ω |
0.13395923547886 |
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 |
24108b1 72324n1 |
Quadratic twists by: -3 -7 |