Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086be |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-25342008902154 = -1 · 2 · 311 · 74 · 313 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 -7 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5063,-277815] |
[a1,a2,a3,a4,a6] |
Generators |
[1366:14937:8] |
Generators of the group modulo torsion |
j |
-660776311/1166886 |
j-invariant |
L |
10.682036961781 |
L(r)(E,1)/r! |
Ω |
0.26712554633429 |
Real period |
R |
2.4993016306843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999484832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40362e1 121086bf1 |
Quadratic twists by: -3 -31 |