Atkin-Lehner |
2+ 3+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
47430b |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
227664000000 = 210 · 33 · 56 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8634360,9767633216] |
[a1,a2,a3,a4,a6] |
Generators |
[-647:123136:1] |
Generators of the group modulo torsion |
j |
2636637548662881728737947/8432000000 |
j-invariant |
L |
4.5863426837851 |
L(r)(E,1)/r! |
Ω |
0.46784247100011 |
Real period |
R |
4.9015886415592 |
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 |
47430x2 |
Quadratic twists by: -3 |