Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605c |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3603456 |
Modular degree for the optimal curve |
Δ |
5.6430905782362E+19 |
Discriminant |
Eigenvalues |
0 2 5+ 7- -3 4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1589821,-681144598] |
[a1,a2,a3,a4,a6] |
Generators |
[-1734564:19807042:2197] |
Generators of the group modulo torsion |
j |
48234496/6125 |
j-invariant |
L |
6.351764504325 |
L(r)(E,1)/r! |
Ω |
0.13557354904089 |
Real period |
R |
7.8085100264395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515l1 129605w1 |
Quadratic twists by: -7 -23 |