Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470fv |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
2100 |
Product of Tamagawa factors cp |
deg |
11289600 |
Modular degree for the optimal curve |
Δ |
-1.3122675974362E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-96887732,367100391831] |
[a1,a2,a3,a4,a6] |
Generators |
[4781:-117051:1] |
Generators of the group modulo torsion |
j |
-4830912149265798523369/63026250000000 |
j-invariant |
L |
12.299372641219 |
L(r)(E,1)/r! |
Ω |
0.13904092560881 |
Real period |
R |
0.042123166887339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35490g1 106470ba1 |
Quadratic twists by: -3 13 |