Atkin-Lehner |
3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105cc |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-23771124496494375 = -1 · 3 · 54 · 79 · 11 · 134 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-57454,9112331] |
[a1,a2,a3,a4,a6] |
Generators |
[38574:2656109:8] |
Generators of the group modulo torsion |
j |
-178272935636041/202051224375 |
j-invariant |
L |
8.110327264218 |
L(r)(E,1)/r! |
Ω |
0.34390855570589 |
Real period |
R |
2.9478502098665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991591 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015h1 |
Quadratic twists by: -7 |