Atkin-Lehner |
2+ 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26862c |
Isogeny class |
Conductor |
26862 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-7475590590336 = -1 · 27 · 34 · 117 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -3 0 11- 4 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4596,56016] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:-179:1] [39:-564:1] |
Generators of the group modulo torsion |
j |
6058428767/4219776 |
j-invariant |
L |
4.533066184573 |
L(r)(E,1)/r! |
Ω |
0.46966215560445 |
Real period |
R |
1.2064699408072 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80586be1 2442g1 |
Quadratic twists by: -3 -11 |