Atkin-Lehner |
2+ 3+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
47430b |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-982867378176000 = -1 · 220 · 33 · 53 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-539640,152724800] |
[a1,a2,a3,a4,a6] |
Generators |
[427:-86:1] |
Generators of the group modulo torsion |
j |
-643684129635425546907/36402495488000 |
j-invariant |
L |
4.5863426837851 |
L(r)(E,1)/r! |
Ω |
0.46784247100011 |
Real period |
R |
2.4507943207796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47430x1 |
Quadratic twists by: -3 |