Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350r |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4576275580830625000 = -1 · 23 · 57 · 712 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,59999,-102762852] |
[a1,a2,a3,a4,a6] |
Generators |
[4206:66793:8] |
Generators of the group modulo torsion |
j |
12994449551/2489452840 |
j-invariant |
L |
3.0191463601742 |
L(r)(E,1)/r! |
Ω |
0.11533430104605 |
Real period |
R |
6.5443374880474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270p2 8050g2 |
Quadratic twists by: 5 -7 |