Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
26862w |
Isogeny class |
Conductor |
26862 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-26579877654528 = -1 · 212 · 32 · 117 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6718,325700] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:754:1] |
Generators of the group modulo torsion |
j |
-18927429625/15003648 |
j-invariant |
L |
10.700600921276 |
L(r)(E,1)/r! |
Ω |
0.61313768930798 |
Real period |
R |
0.72717495514436 |
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 |
80586k1 2442e1 |
Quadratic twists by: -3 -11 |