Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200he |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-1239300000000 = -1 · 28 · 36 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2625,-13750] |
[a1,a2,a3,a4,a6] |
Generators |
[35859486:884809882:59319] |
Generators of the group modulo torsion |
j |
27440/17 |
j-invariant |
L |
6.8564593035446 |
L(r)(E,1)/r! |
Ω |
0.49788959011248 |
Real period |
R |
13.771043700481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15300bg1 6800v1 61200eo1 |
Quadratic twists by: -4 -3 5 |