Atkin-Lehner |
3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105bn |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-206887149463995 = -1 · 33 · 5 · 78 · 112 · 133 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 11+ 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,13949,-272555] |
[a1,a2,a3,a4,a6] |
Generators |
[325:6220:1] |
Generators of the group modulo torsion |
j |
52063993856/35887995 |
j-invariant |
L |
5.8442015743857 |
L(r)(E,1)/r! |
Ω |
0.31860320376679 |
Real period |
R |
3.0571996333958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999792246 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
105105w1 |
Quadratic twists by: -7 |