Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56784ci |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3744000 |
Modular degree for the optimal curve |
Δ |
-2364309954032173056 = -1 · 217 · 35 · 7 · 139 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -5 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31857232,69219276736] |
[a1,a2,a3,a4,a6] |
j |
-82318551880501/54432 |
j-invariant |
L |
0.85510443616393 |
L(r)(E,1)/r! |
Ω |
0.21377610953482 |
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 |
7098z1 56784bs1 |
Quadratic twists by: -4 13 |