Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200fc |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-21415104000000 = -1 · 212 · 39 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -3 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2400,-218000] |
[a1,a2,a3,a4,a6] |
Generators |
[89:837:1] |
Generators of the group modulo torsion |
j |
32768/459 |
j-invariant |
L |
3.9559535087484 |
L(r)(E,1)/r! |
Ω |
0.33309942462159 |
Real period |
R |
2.9690485905775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3825e1 20400dm1 2448s1 |
Quadratic twists by: -4 -3 5 |