Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89700f |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7493620972500000000 = -1 · 28 · 33 · 510 · 136 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -6 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-374908,158722312] |
[a1,a2,a3,a4,a6] |
Generators |
[-29893446:-71648633:39304] |
Generators of the group modulo torsion |
j |
-1456931061338704/1873405243125 |
j-invariant |
L |
5.9872809062774 |
L(r)(E,1)/r! |
Ω |
0.21204257961167 |
Real period |
R |
14.118109944415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17940g2 |
Quadratic twists by: 5 |