Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
26950co |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
1207360000000000000 = 218 · 513 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3163005,-2163763003] |
[a1,a2,a3,a4,a6] |
j |
652993822364173263/225280000000 |
j-invariant |
L |
4.0755487120445 |
L(r)(E,1)/r! |
Ω |
0.11320968644568 |
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 |
5390g1 26950cp1 |
Quadratic twists by: 5 -7 |