Atkin-Lehner |
2+ 3+ 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47430a |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
-109330798140 = -1 · 22 · 39 · 5 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,255,-15895] |
[a1,a2,a3,a4,a6] |
Generators |
[238:935:8] |
Generators of the group modulo torsion |
j |
92959677/5554580 |
j-invariant |
L |
4.2841545614192 |
L(r)(E,1)/r! |
Ω |
0.50434799196974 |
Real period |
R |
2.1236103987902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47430z1 |
Quadratic twists by: -3 |