Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26910bd |
Isogeny class |
Conductor |
26910 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-23835128850000 = -1 · 24 · 313 · 55 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32783,-2288473] |
[a1,a2,a3,a4,a6] |
j |
-5344780143505321/32695650000 |
j-invariant |
L |
1.4186968959624 |
L(r)(E,1)/r! |
Ω |
0.17733711199537 |
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 |
8970f1 |
Quadratic twists by: -3 |