Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
8784d |
Isogeny class |
Conductor |
8784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
41005273303296 = 28 · 316 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-177879,28874230] |
[a1,a2,a3,a4,a6] |
Generators |
[348090:3022123:1000] |
Generators of the group modulo torsion |
j |
3335264310828112/219721329 |
j-invariant |
L |
4.8319719204987 |
L(r)(E,1)/r! |
Ω |
0.61179393421358 |
Real period |
R |
7.8980382940702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4392c2 35136bw2 2928e2 |
Quadratic twists by: -4 8 -3 |