Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200bg |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-403750000 = -1 · 24 · 57 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 5 2 -1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,175,375] |
[a1,a2,a3,a4,a6] |
j |
2370816/1615 |
j-invariant |
L |
4.245468926361 |
L(r)(E,1)/r! |
Ω |
1.0613671898688 |
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 |
32300e1 25840w1 |
Quadratic twists by: -4 5 |