Atkin-Lehner |
2- 3- 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37884o |
Isogeny class |
Conductor |
37884 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
18638928 = 24 · 32 · 7 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-217,-1288] |
[a1,a2,a3,a4,a6] |
Generators |
[17:15:1] |
Generators of the group modulo torsion |
j |
70954958848/1164933 |
j-invariant |
L |
8.362830782289 |
L(r)(E,1)/r! |
Ω |
1.244658757096 |
Real period |
R |
2.2396582556229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113652y1 |
Quadratic twists by: -3 |