Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560bt |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-636372910080 = -1 · 219 · 38 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -1 -2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,852,37168] |
[a1,a2,a3,a4,a6] |
Generators |
[86:864:1] |
Generators of the group modulo torsion |
j |
357911/3330 |
j-invariant |
L |
7.3608740465987 |
L(r)(E,1)/r! |
Ω |
0.66870601643189 |
Real period |
R |
1.3759548044775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560eu1 3330u1 35520bj1 |
Quadratic twists by: -4 8 -3 |