Atkin-Lehner |
2+ 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
80106p |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1310400 |
Modular degree for the optimal curve |
Δ |
407149148926962 = 2 · 35 · 139 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 0 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1361637,-611673866] |
[a1,a2,a3,a4,a6] |
Generators |
[-895994:450627:1331] |
Generators of the group modulo torsion |
j |
26327954276749/38394 |
j-invariant |
L |
5.5631998310085 |
L(r)(E,1)/r! |
Ω |
0.13976045146558 |
Real period |
R |
3.9805250862638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995428 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80106bl1 |
Quadratic twists by: 13 |