Atkin-Lehner |
2+ 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
9480c |
Isogeny class |
Conductor |
9480 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
-15922759680 = -1 · 211 · 39 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 5 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1880,-32592] |
[a1,a2,a3,a4,a6] |
j |
-359003179442/7774785 |
j-invariant |
L |
3.2583416312808 |
L(r)(E,1)/r! |
Ω |
0.3620379590312 |
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 |
18960b1 75840h1 28440m1 47400r1 |
Quadratic twists by: -4 8 -3 5 |