Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4830j |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
270480 = 24 · 3 · 5 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-354,-2588] |
[a1,a2,a3,a4,a6] |
Generators |
[25:53:1] |
Generators of the group modulo torsion |
j |
4886171981209/270480 |
j-invariant |
L |
3.1804940054169 |
L(r)(E,1)/r! |
Ω |
1.1010251619635 |
Real period |
R |
2.8886660498703 |
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 |
38640bo1 14490bt1 24150bs1 33810v1 |
Quadratic twists by: -4 -3 5 -7 |