Atkin-Lehner |
2- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
36848g |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3888 |
Modular degree for the optimal curve |
Δ |
-1805552 = -1 · 24 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49,147] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:15:1] |
Generators of the group modulo torsion |
j |
-338688/47 |
j-invariant |
L |
6.1579205789033 |
L(r)(E,1)/r! |
Ω |
2.5586365575363 |
Real period |
R |
2.4067195322306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9212a1 36848j1 |
Quadratic twists by: -4 -7 |