Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630bm |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
18229432320 = 212 · 37 · 5 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1337,-17319] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:44:1] |
Generators of the group modulo torsion |
j |
362314607689/25006080 |
j-invariant |
L |
9.4771320086036 |
L(r)(E,1)/r! |
Ω |
0.79300274485017 |
Real period |
R |
1.9918241288463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210a1 |
Quadratic twists by: -3 |