Atkin-Lehner |
2- 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
29736m |
Isogeny class |
Conductor |
29736 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
87979602093264 = 24 · 33 · 75 · 594 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13326,-383315] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:295:1] [-366:2891:8] |
Generators of the group modulo torsion |
j |
605814120953856/203656486327 |
j-invariant |
L |
7.6060204313021 |
L(r)(E,1)/r! |
Ω |
0.45639893128204 |
Real period |
R |
0.8332644874887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59472b1 29736c1 |
Quadratic twists by: -4 -3 |