Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605a |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-609569600673635 = -1 · 5 · 77 · 236 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-34561,2755066] |
[a1,a2,a3,a4,a6] |
Generators |
[2042:25917:8] |
Generators of the group modulo torsion |
j |
-262144/35 |
j-invariant |
L |
3.8347837850016 |
L(r)(E,1)/r! |
Ω |
0.49857449600218 |
Real period |
R |
1.9228739976141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000125319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515i1 245c1 |
Quadratic twists by: -7 -23 |