Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800cb |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
12 |
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 |
[-81:484:1] |
Generators of the group modulo torsion |
j |
704 |
j-invariant |
L |
3.66873689166 |
L(r)(E,1)/r! |
Ω |
0.2686759709948 |
Real period |
R |
1.1379062817772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999721138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800bw1 3872d1 96800w1 |
Quadratic twists by: -4 5 -11 |