Atkin-Lehner |
2+ 5+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
8990b |
Isogeny class |
Conductor |
8990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
339848520500 = 22 · 53 · 294 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 0 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2123,-26023] |
[a1,a2,a3,a4,a6] |
Generators |
[52:61:1] |
Generators of the group modulo torsion |
j |
1058993490188089/339848520500 |
j-invariant |
L |
4.242907276234 |
L(r)(E,1)/r! |
Ω |
0.72116642337575 |
Real period |
R |
1.470848870214 |
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 |
71920n2 80910u2 44950p2 |
Quadratic twists by: -4 -3 5 |