Atkin-Lehner |
2- 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560cc |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
71047680000 = 212 · 3 · 54 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6720,-213900] |
[a1,a2,a3,a4,a6] |
j |
8194759433281/17345625 |
j-invariant |
L |
4.2188789599469 |
L(r)(E,1)/r! |
Ω |
0.52735987235565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4785b1 |
Quadratic twists by: -4 |