Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800bs |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
191365120000000 = 225 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -1 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41633,-3215137] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:200:1] [-121:256:1] |
Generators of the group modulo torsion |
j |
1948441249/46720 |
j-invariant |
L |
13.282735627085 |
L(r)(E,1)/r! |
Ω |
0.33471392394664 |
Real period |
R |
2.4802403410988 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800f1 29200m1 23360bc1 |
Quadratic twists by: -4 8 5 |