Atkin-Lehner |
3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
107085k |
Isogeny class |
Conductor |
107085 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-6223358135716425 = -1 · 39 · 52 · 118 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4964,-3798313] |
[a1,a2,a3,a4,a6] |
Generators |
[1341:48334:1] |
Generators of the group modulo torsion |
j |
-63088729/29032425 |
j-invariant |
L |
8.5387748831432 |
L(r)(E,1)/r! |
Ω |
0.19038749818258 |
Real period |
R |
0.83054540112822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107085l1 |
Quadratic twists by: -11 |