Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800bu |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1247178944000000 = -1 · 212 · 56 · 117 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 11- -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8067,-1678763] |
[a1,a2,a3,a4,a6] |
Generators |
[103:484:1] |
Generators of the group modulo torsion |
j |
512/11 |
j-invariant |
L |
1.7286453583434 |
L(r)(E,1)/r! |
Ω |
0.23534759212524 |
Real period |
R |
1.8362683789167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999563148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800i1 3872c1 8800f1 |
Quadratic twists by: -4 5 -11 |