Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800bw |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-13718968384000000 = -1 · 212 · 56 · 118 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11- -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,44367,-4352863] |
[a1,a2,a3,a4,a6] |
Generators |
[12839619:232363988:59319] |
Generators of the group modulo torsion |
j |
704 |
j-invariant |
L |
10.128928611241 |
L(r)(E,1)/r! |
Ω |
0.21083198624848 |
Real period |
R |
12.010664020379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800cb1 3872e1 96800r1 |
Quadratic twists by: -4 5 -11 |