Atkin-Lehner |
2+ 3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630b |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
162637200 = 24 · 33 · 52 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165,581] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:39:1] [-2:31:1] |
Generators of the group modulo torsion |
j |
18462541707/6023600 |
j-invariant |
L |
5.9888121989046 |
L(r)(E,1)/r! |
Ω |
1.6763752615442 |
Real period |
R |
0.89311926993412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36630x1 |
Quadratic twists by: -3 |