Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2366n |
Isogeny class |
Conductor |
2366 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-5703354270784352 = -1 · 25 · 75 · 139 |
Discriminant |
Eigenvalues |
2- -1 2 7+ -5 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8193,3625669] |
[a1,a2,a3,a4,a6] |
Generators |
[239:4274:1] |
Generators of the group modulo torsion |
j |
5735339/537824 |
j-invariant |
L |
4.0417033074913 |
L(r)(E,1)/r! |
Ω |
0.32722161651034 |
Real period |
R |
1.2351577962954 |
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 |
18928bf2 75712v2 21294ba2 59150t2 |
Quadratic twists by: -4 8 -3 5 |