Atkin-Lehner |
2- 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630bm |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1738916942400 = 26 · 38 · 52 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4217,85209] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:432:1] |
Generators of the group modulo torsion |
j |
11373926916169/2385345600 |
j-invariant |
L |
9.4771320086036 |
L(r)(E,1)/r! |
Ω |
0.79300274485017 |
Real period |
R |
0.99591206442316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12210a2 |
Quadratic twists by: -3 |