Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23688h |
Isogeny class |
Conductor |
23688 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
58447766082633984 = 28 · 316 · 74 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-149511,-18969190] |
[a1,a2,a3,a4,a6] |
Generators |
[551:8120:1] |
Generators of the group modulo torsion |
j |
1980503696308048/313184617641 |
j-invariant |
L |
4.4069333958981 |
L(r)(E,1)/r! |
Ω |
0.24538060239171 |
Real period |
R |
4.4898958525491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47376n2 7896j2 |
Quadratic twists by: -4 -3 |