Atkin-Lehner |
5- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5735b |
Isogeny class |
Conductor |
5735 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-39256075 = -1 · 52 · 31 · 373 |
Discriminant |
Eigenvalues |
1 2 5- 1 2 -3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-127,-684] |
[a1,a2,a3,a4,a6] |
j |
-229333309561/39256075 |
j-invariant |
L |
4.2226225392525 |
L(r)(E,1)/r! |
Ω |
0.70377042320875 |
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 |
91760h1 51615d1 28675b1 |
Quadratic twists by: -4 -3 5 |