Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775bo |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
45199802834441325 = 317 · 52 · 77 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 5 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-922890,-341096949] |
[a1,a2,a3,a4,a6] |
j |
4769863992106516480/2480098920957 |
j-invariant |
L |
2.156520835515 |
L(r)(E,1)/r! |
Ω |
0.15403720253683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8925y1 26775bs1 |
Quadratic twists by: -3 5 |