Atkin-Lehner |
2- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90334u |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
2867562496 = 211 · 313 · 47 |
Discriminant |
Eigenvalues |
2- -1 3 -3 -2 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-454,2499] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:63:1] |
Generators of the group modulo torsion |
j |
347428927/96256 |
j-invariant |
L |
9.4446449437052 |
L(r)(E,1)/r! |
Ω |
1.3333805437863 |
Real period |
R |
0.32196513225241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90334r1 |
Quadratic twists by: -31 |