Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950h |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1866240 |
Modular degree for the optimal curve |
Δ |
-4.2591772743808E+19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11+ 2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25270306,-48898046732] |
[a1,a2,a3,a4,a6] |
j |
-606773969327363726065/14480963796992 |
j-invariant |
L |
1.0773735080532 |
L(r)(E,1)/r! |
Ω |
0.033667922126659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26950dd1 3850b1 |
Quadratic twists by: 5 -7 |