Atkin-Lehner |
2- 3+ 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630x |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
118562518800 = 24 · 39 · 52 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1487,-14201] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:52:1] |
Generators of the group modulo torsion |
j |
18462541707/6023600 |
j-invariant |
L |
8.5919617585281 |
L(r)(E,1)/r! |
Ω |
0.78884838323386 |
Real period |
R |
1.3614722963786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36630b1 |
Quadratic twists by: -3 |