Atkin-Lehner |
2- 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948n |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
2808574244710416 = 24 · 39 · 79 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 0 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35394,271881] |
[a1,a2,a3,a4,a6] |
j |
2605053814528/1492030449 |
j-invariant |
L |
2.3264499471729 |
L(r)(E,1)/r! |
Ω |
0.3877418361136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564q1 |
Quadratic twists by: -7 |