Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232cb |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
126434012626944 = 216 · 32 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15649,-529729] |
[a1,a2,a3,a4,a6] |
Generators |
[-2013:12896:27] |
Generators of the group modulo torsion |
j |
3650692/1089 |
j-invariant |
L |
5.4840874084971 |
L(r)(E,1)/r! |
Ω |
0.43667682260093 |
Real period |
R |
6.2793433549243 |
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 |
23232dc2 2904k2 69696cd2 2112m2 |
Quadratic twists by: -4 8 -3 -11 |