Atkin-Lehner |
2+ 3- 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774p |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
105979104 = 25 · 36 · 7 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11- 1 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-141,-379] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:16:1] |
Generators of the group modulo torsion |
j |
426957777/145376 |
j-invariant |
L |
3.7462910960802 |
L(r)(E,1)/r! |
Ω |
1.4232465610602 |
Real period |
R |
1.3161075522816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9086d1 |
Quadratic twists by: -3 |