Atkin-Lehner |
2+ 3- 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
26790h |
Isogeny class |
Conductor |
26790 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
321408 |
Modular degree for the optimal curve |
Δ |
39966049696127040 = 26 · 318 · 5 · 193 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-86069,-1400704] |
[a1,a2,a3,a4,a6] |
Generators |
[2619:131878:1] |
Generators of the group modulo torsion |
j |
70510976620686890569/39966049696127040 |
j-invariant |
L |
5.2740203706383 |
L(r)(E,1)/r! |
Ω |
0.30077695317619 |
Real period |
R |
5.8448852933987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
80370cc1 |
Quadratic twists by: -3 |