Atkin-Lehner |
2- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
26048n |
Isogeny class |
Conductor |
26048 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-195260809216 = -1 · 215 · 115 · 37 |
Discriminant |
Eigenvalues |
2- -2 1 -2 11- -6 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3585,84127] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:88:1] [-14:363:1] |
Generators of the group modulo torsion |
j |
-155547270152/5958887 |
j-invariant |
L |
5.8420190417709 |
L(r)(E,1)/r! |
Ω |
0.99910842875526 |
Real period |
R |
0.29236161329609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26048i1 13024c1 |
Quadratic twists by: -4 8 |