Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23688r |
Isogeny class |
Conductor |
23688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
34629202944 = 210 · 37 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3891,92990] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:376:1] [38:2:1] |
Generators of the group modulo torsion |
j |
8727300292/46389 |
j-invariant |
L |
6.9918332845751 |
L(r)(E,1)/r! |
Ω |
1.168410711146 |
Real period |
R |
2.9920272117829 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47376p2 7896a2 |
Quadratic twists by: -4 -3 |