Atkin-Lehner |
2- 5+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
107900d |
Isogeny class |
Conductor |
107900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1609920 |
Modular degree for the optimal curve |
Δ |
-329284667968750000 = -1 · 24 · 519 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 -4 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-251300,-55797375] |
[a1,a2,a3,a4,a6] |
Generators |
[5360:390625:1] |
Generators of the group modulo torsion |
j |
-7020388873322496/1317138671875 |
j-invariant |
L |
1.6951207180442 |
L(r)(E,1)/r! |
Ω |
0.10554250451076 |
Real period |
R |
1.3384186786044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21580c1 |
Quadratic twists by: 5 |