Atkin-Lehner |
3+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105m |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-482254427655 = -1 · 32 · 5 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11+ 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-981,35034] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-175:1] |
Generators of the group modulo torsion |
j |
-887503681/4099095 |
j-invariant |
L |
3.2291002035347 |
L(r)(E,1)/r! |
Ω |
0.81102241937798 |
Real period |
R |
0.99537944374069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015q1 |
Quadratic twists by: -7 |