Atkin-Lehner |
2+ 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
77714d |
Isogeny class |
Conductor |
77714 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2486879890017614 = 2 · 711 · 132 · 612 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8785268,-10020409190] |
[a1,a2,a3,a4,a6] |
Generators |
[-1126862193:562127819:658503] |
Generators of the group modulo torsion |
j |
637383098666373709833/21138130286 |
j-invariant |
L |
1.9087836926782 |
L(r)(E,1)/r! |
Ω |
0.087692166466664 |
Real period |
R |
10.883433329386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11102b2 |
Quadratic twists by: -7 |