Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200eo |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-79315200 = -1 · 28 · 36 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105,-110] |
[a1,a2,a3,a4,a6] |
Generators |
[270:1408:125] |
Generators of the group modulo torsion |
j |
27440/17 |
j-invariant |
L |
6.25795883249 |
L(r)(E,1)/r! |
Ω |
1.113314968781 |
Real period |
R |
5.6210138262176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15300n1 6800q1 61200he1 |
Quadratic twists by: -4 -3 5 |