Atkin-Lehner |
2+ 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
4848a |
Isogeny class |
Conductor |
4848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
169641216 = 28 · 38 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 6 5 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-281,-1611] |
[a1,a2,a3,a4,a6] |
j |
9619385344/662661 |
j-invariant |
L |
2.3415485038552 |
L(r)(E,1)/r! |
Ω |
1.1707742519276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2424e1 19392bi1 14544b1 121200bh1 |
Quadratic twists by: -4 8 -3 5 |