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 |
Δ |
130545367737890625 = 312 · 58 · 132 · 612 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-137475,9130000] |
[a1,a2,a3,a4,a6] |
j |
394156911116919601/179074578515625 |
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 |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11895d2 |
Quadratic twists by: -3 |