Atkin-Lehner |
2+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
26432d |
Isogeny class |
Conductor |
26432 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-169760260096 = -1 · 223 · 73 · 59 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 2 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8737,-317889] |
[a1,a2,a3,a4,a6] |
Generators |
[131:896:1] |
Generators of the group modulo torsion |
j |
-281397674377/647584 |
j-invariant |
L |
2.9000694340829 |
L(r)(E,1)/r! |
Ω |
0.24686808786524 |
Real period |
R |
0.97895380050972 |
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 |
26432f1 826b1 |
Quadratic twists by: -4 8 |