Atkin-Lehner |
2+ 3+ 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47502c |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1417507182 = 2 · 33 · 74 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-327,1463] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:52:1] |
Generators of the group modulo torsion |
j |
143466352875/52500266 |
j-invariant |
L |
3.0603771975611 |
L(r)(E,1)/r! |
Ω |
1.3879737221466 |
Real period |
R |
1.102462225597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47502z2 |
Quadratic twists by: -3 |