Atkin-Lehner |
2- 3- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
35190bu |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-2037560200277760 = -1 · 28 · 39 · 5 · 172 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18077,2369189] |
[a1,a2,a3,a4,a6] |
j |
-896092277345929/2795007133440 |
j-invariant |
L |
6.5424608987545 |
L(r)(E,1)/r! |
Ω |
0.40890380617251 |
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 |
11730d1 |
Quadratic twists by: -3 |