Atkin-Lehner |
2+ 3- 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774k |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
24620270598 = 2 · 38 · 72 · 11 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51777,-4521825] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:66:1] |
Generators of the group modulo torsion |
j |
21057729971748625/33772662 |
j-invariant |
L |
2.9118372047415 |
L(r)(E,1)/r! |
Ω |
0.31649363651374 |
Real period |
R |
2.3000756332647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27258bf2 |
Quadratic twists by: -3 |