Atkin-Lehner |
2+ 3+ 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20130d |
Isogeny class |
Conductor |
20130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-60390000 = -1 · 24 · 32 · 54 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,93,189] |
[a1,a2,a3,a4,a6] |
Generators |
[3:21:1] |
Generators of the group modulo torsion |
j |
87469256519/60390000 |
j-invariant |
L |
3.7282491425639 |
L(r)(E,1)/r! |
Ω |
1.246163781954 |
Real period |
R |
0.74794525337555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60390z1 100650ch1 |
Quadratic twists by: -3 5 |