Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26400a |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11880000000 = 29 · 33 · 57 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-396008,-95786988] |
[a1,a2,a3,a4,a6] |
Generators |
[-19449553279:17155250:53582633] |
Generators of the group modulo torsion |
j |
858512652814088/1485 |
j-invariant |
L |
4.5159826228337 |
L(r)(E,1)/r! |
Ω |
0.19031519902672 |
Real period |
R |
11.864482306007 |
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 |
26400t4 52800gs4 79200dt4 5280p2 |
Quadratic twists by: -4 8 -3 5 |