Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200ex |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-793152000000000 = -1 · 215 · 36 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9075,1395250] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:400:1] |
Generators of the group modulo torsion |
j |
-1771561/17000 |
j-invariant |
L |
6.4383630421377 |
L(r)(E,1)/r! |
Ω |
0.42978575961128 |
Real period |
R |
1.8725501305271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650q1 6800s1 12240bt1 |
Quadratic twists by: -4 -3 5 |