Atkin-Lehner |
2- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26048j |
Isogeny class |
Conductor |
26048 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-103278444544 = -1 · 221 · 113 · 37 |
Discriminant |
Eigenvalues |
2- -2 3 -2 11- -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,351,-15137] |
[a1,a2,a3,a4,a6] |
Generators |
[21:44:1] |
Generators of the group modulo torsion |
j |
18191447/393976 |
j-invariant |
L |
4.3672786090386 |
L(r)(E,1)/r! |
Ω |
0.51499651387471 |
Real period |
R |
1.4133683404897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26048a1 6512c1 |
Quadratic twists by: -4 8 |