Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950jb |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-3264053856000 = -1 · 28 · 3 · 53 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22198,-1277788] |
[a1,a2,a3,a4,a6] |
j |
-82256120549/221952 |
j-invariant |
L |
3.1285321924901 |
L(r)(E,1)/r! |
Ω |
0.19553333320099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124950bs1 2550x1 |
Quadratic twists by: 5 -7 |