Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23200i |
Isogeny class |
Conductor |
23200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1345600000000 = -1 · 212 · 58 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -2 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2367,-33137] |
[a1,a2,a3,a4,a6] |
Generators |
[18:125:1] [42:377:1] |
Generators of the group modulo torsion |
j |
22906304/21025 |
j-invariant |
L |
4.994129675667 |
L(r)(E,1)/r! |
Ω |
0.46941001797434 |
Real period |
R |
2.6597907396703 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23200a2 46400t1 4640d2 |
Quadratic twists by: -4 8 5 |