Atkin-Lehner |
5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39325d |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-116950706640625 = -1 · 58 · 116 · 132 |
Discriminant |
Eigenvalues |
-1 2 5+ -4 11- 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12037,-106094] |
[a1,a2,a3,a4,a6] |
j |
6967871/4225 |
j-invariant |
L |
1.3713378624233 |
L(r)(E,1)/r! |
Ω |
0.34283446559415 |
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 |
7865b2 325c2 |
Quadratic twists by: 5 -11 |