Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
96600bn |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
86940000000000 = 211 · 33 · 510 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4637008,-3841759988] |
[a1,a2,a3,a4,a6] |
Generators |
[20314:219063:8] |
Generators of the group modulo torsion |
j |
344577854816148242/2716875 |
j-invariant |
L |
3.9606943498234 |
L(r)(E,1)/r! |
Ω |
0.10288216287726 |
Real period |
R |
9.6243465583786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999888892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320l3 |
Quadratic twists by: 5 |