Atkin-Lehner |
2+ 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
49818r |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
448362 = 2 · 33 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -6 0 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27,-44] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] [-2:2:1] |
Generators of the group modulo torsion |
j |
5714497/1242 |
j-invariant |
L |
6.8629327701896 |
L(r)(E,1)/r! |
Ω |
2.1362941370463 |
Real period |
R |
1.0708470416408 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49818w1 |
Quadratic twists by: -19 |