Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
4848c |
Isogeny class |
Conductor |
4848 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-12214167552 = -1 · 211 · 310 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 -6 2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,392,4532] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:54:1] |
Generators of the group modulo torsion |
j |
3244468750/5963949 |
j-invariant |
L |
4.6386979422779 |
L(r)(E,1)/r! |
Ω |
0.87158742591034 |
Real period |
R |
0.26610629091126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2424a1 19392w1 14544a1 121200p1 |
Quadratic twists by: -4 8 -3 5 |