Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12789f |
Isogeny class |
Conductor |
12789 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.1894010394068E+23 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5504112,21955452651] |
[a1,a2,a3,a4,a6] |
Generators |
[3660686343834494606:-315558176010539862933:1243059743600648] |
Generators of the group modulo torsion |
j |
215015459663151503/2552757445339983 |
j-invariant |
L |
4.3975307325534 |
L(r)(E,1)/r! |
Ω |
0.073565699800379 |
Real period |
R |
29.888458510462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4263g6 1827b6 |
Quadratic twists by: -3 -7 |