Atkin-Lehner |
2+ 3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010k |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
93358656000000 = 212 · 37 · 56 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27724,1712522] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:1709:1] |
Generators of the group modulo torsion |
j |
2356507705137010489/93358656000000 |
j-invariant |
L |
4.0098582584644 |
L(r)(E,1)/r! |
Ω |
0.59654869089083 |
Real period |
R |
0.96025169917132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030bm1 100050bk1 |
Quadratic twists by: -3 5 |