Atkin-Lehner |
2- 3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
92904u |
Isogeny class |
Conductor |
92904 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
109275643959552 = 28 · 38 · 77 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14324,422400] |
[a1,a2,a3,a4,a6] |
j |
10792418128/3628233 |
j-invariant |
L |
4.3747427103819 |
L(r)(E,1)/r! |
Ω |
0.54684284575974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13272e1 |
Quadratic twists by: -7 |