Atkin-Lehner |
5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
42955l |
Isogeny class |
Conductor |
42955 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
380487013775 = 52 · 118 · 71 |
Discriminant |
Eigenvalues |
-1 2 5- 0 11- -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45680,-3776750] |
[a1,a2,a3,a4,a6] |
j |
5950404385561/214775 |
j-invariant |
L |
2.6125156991272 |
L(r)(E,1)/r! |
Ω |
0.32656446239559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3905b2 |
Quadratic twists by: -11 |