Atkin-Lehner |
2+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52030p |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
6659840 = 28 · 5 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11- -4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58,108] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:12:1] [-3:17:1] |
Generators of the group modulo torsion |
j |
173945761/55040 |
j-invariant |
L |
4.9869074624136 |
L(r)(E,1)/r! |
Ω |
2.1923356799401 |
Real period |
R |
1.1373503401061 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52030ba1 |
Quadratic twists by: -11 |