Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950n |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-923151812635937500 = -1 · 22 · 58 · 79 · 114 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11+ -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-687250,223824000] |
[a1,a2,a3,a4,a6] |
j |
-56933326423/1464100 |
j-invariant |
L |
1.1158954144167 |
L(r)(E,1)/r! |
Ω |
0.27897385360423 |
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 |
5390bg1 26950r1 |
Quadratic twists by: 5 -7 |