Atkin-Lehner |
2+ 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
120984c |
Isogeny class |
Conductor |
120984 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5480064 |
Modular degree for the optimal curve |
Δ |
-495938711996744448 = -1 · 28 · 3 · 718 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 2 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24218644,45882745300] |
[a1,a2,a3,a4,a6] |
j |
-9503125072/3 |
j-invariant |
L |
1.421695433693 |
L(r)(E,1)/r! |
Ω |
0.23694938433233 |
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 |
120984d1 |
Quadratic twists by: -71 |