Atkin-Lehner |
3- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105bu |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
4112640 |
Modular degree for the optimal curve |
Δ |
-1.6726235929575E+19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11+ 13- -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,338294,181723756] |
[a1,a2,a3,a4,a6] |
Generators |
[-376:1228:1] [137:-15188:1] |
Generators of the group modulo torsion |
j |
12482776476508516352/48764536237828125 |
j-invariant |
L |
6.7768603191482 |
L(r)(E,1)/r! |
Ω |
0.15645847608093 |
Real period |
R |
0.21232408970156 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105105ba1 |
Quadratic twists by: -7 |