Atkin-Lehner |
3+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
26499d |
Isogeny class |
Conductor |
26499 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2294077602267 = 35 · 116 · 732 |
Discriminant |
Eigenvalues |
-1 3+ -4 -2 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-157000,23878526] |
[a1,a2,a3,a4,a6] |
Generators |
[28:4402:1] |
Generators of the group modulo torsion |
j |
241583200934041/1294947 |
j-invariant |
L |
1.5596565982237 |
L(r)(E,1)/r! |
Ω |
0.72695711109199 |
Real period |
R |
1.0727294460885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79497k2 219c2 |
Quadratic twists by: -3 -11 |