Atkin-Lehner |
3+ 5- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
26085a |
Isogeny class |
Conductor |
26085 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-14477175 = -1 · 32 · 52 · 372 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 0 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12,-189] |
[a1,a2,a3,a4,a6] |
j |
-217081801/14477175 |
j-invariant |
L |
1.9571882400511 |
L(r)(E,1)/r! |
Ω |
0.97859412002546 |
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 |
78255a1 |
Quadratic twists by: -3 |