Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600o |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
33303636000000 = 28 · 311 · 56 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 1 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18300,-911500] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:162:1] |
Generators of the group modulo torsion |
j |
232428544/11421 |
j-invariant |
L |
6.8892085037884 |
L(r)(E,1)/r! |
Ω |
0.41172666455316 |
Real period |
R |
1.0457800491457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200r1 3384g1 |
Quadratic twists by: -3 5 |