Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2346i |
Isogeny class |
Conductor |
2346 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-5405184 = -1 · 29 · 33 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 0 -6 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-181,929] |
[a1,a2,a3,a4,a6] |
Generators |
[2:23:1] |
Generators of the group modulo torsion |
j |
-656008386769/5405184 |
j-invariant |
L |
4.7535362139499 |
L(r)(E,1)/r! |
Ω |
2.4251008973805 |
Real period |
R |
0.072597761603703 |
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 |
18768l1 75072b1 7038g1 58650h1 |
Quadratic twists by: -4 8 -3 5 |