Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23400bk |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
443523600000000 = 210 · 38 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117075,-15385250] |
[a1,a2,a3,a4,a6] |
Generators |
[435:4000:1] |
Generators of the group modulo torsion |
j |
15214885924/38025 |
j-invariant |
L |
3.9241321412948 |
L(r)(E,1)/r! |
Ω |
0.25813609719112 |
Real period |
R |
3.8004488562379 |
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 |
46800x2 7800g2 4680g2 |
Quadratic twists by: -4 -3 5 |