Atkin-Lehner |
3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35685f |
Isogeny class |
Conductor |
35685 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-2214287468274375 = -1 · 39 · 54 · 13 · 614 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,29970,1059151] |
[a1,a2,a3,a4,a6] |
j |
4083647637906719/3037431369375 |
j-invariant |
L |
2.36048102568 |
L(r)(E,1)/r! |
Ω |
0.29506012820749 |
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 |
11895d1 |
Quadratic twists by: -3 |