Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470fb |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
1.4131538620502E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-57543323,-167900319349] |
[a1,a2,a3,a4,a6] |
Generators |
[-4419:10966:1] |
Generators of the group modulo torsion |
j |
13156820005959211457413/8823316631734080 |
j-invariant |
L |
10.363178161656 |
L(r)(E,1)/r! |
Ω |
0.054817383614712 |
Real period |
R |
3.9385233370553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490bx1 106470cp1 |
Quadratic twists by: -3 13 |