Atkin-Lehner |
3- 7- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
84987n |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1435200 |
Modular degree for the optimal curve |
Δ |
-1810371062565784593 = -1 · 36 · 713 · 192 · 71 |
Discriminant |
Eigenvalues |
1 3- -2 7- 5 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,46332,-64633091] |
[a1,a2,a3,a4,a6] |
Generators |
[1188:40223:1] |
Generators of the group modulo torsion |
j |
15088082643361727/2483362225741817 |
j-invariant |
L |
6.1444917016011 |
L(r)(E,1)/r! |
Ω |
0.12477783876375 |
Real period |
R |
1.8939789835531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999862904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9443d1 |
Quadratic twists by: -3 |