Atkin-Lehner |
3- 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
26937a |
Isogeny class |
Conductor |
26937 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
1353406708233 = 38 · 414 · 73 |
Discriminant |
Eigenvalues |
1 3- 2 0 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5166,132799] |
[a1,a2,a3,a4,a6] |
Generators |
[70:2341:8] |
Generators of the group modulo torsion |
j |
20917350641377/1856524977 |
j-invariant |
L |
6.5477206581328 |
L(r)(E,1)/r! |
Ω |
0.83458410464071 |
Real period |
R |
3.9227446471387 |
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 |
8979a1 |
Quadratic twists by: -3 |