Atkin-Lehner |
2- 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150dr |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-5912141937030000 = -1 · 24 · 36 · 54 · 7 · 415 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-86630,10509797] |
[a1,a2,a3,a4,a6] |
j |
-157803419466025/12975894512 |
j-invariant |
L |
1.6688181369916 |
L(r)(E,1)/r! |
Ω |
0.41720408970857 |
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 |
14350g1 129150bd2 |
Quadratic twists by: -3 5 |