Atkin-Lehner |
2+ 3- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674f |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-1868649689088 = -1 · 212 · 36 · 7 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 4 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4194,124564] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:422:1] |
Generators of the group modulo torsion |
j |
-11192824869409/2563305472 |
j-invariant |
L |
3.2198622352256 |
L(r)(E,1)/r! |
Ω |
0.79585783012404 |
Real period |
R |
1.0114439141482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4186a1 |
Quadratic twists by: -3 |