Atkin-Lehner |
2+ 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
47840c |
Isogeny class |
Conductor |
47840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
6123520 = 212 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5- -5 4 13- 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-143] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] |
Generators of the group modulo torsion |
j |
7529536/1495 |
j-invariant |
L |
4.4409562634981 |
L(r)(E,1)/r! |
Ω |
1.7025485751452 |
Real period |
R |
0.65210419372797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47840h1 95680a1 |
Quadratic twists by: -4 8 |