Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840cj |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12401049600 = 216 · 32 · 52 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-961,10465] |
[a1,a2,a3,a4,a6] |
j |
1499221444/189225 |
j-invariant |
L |
2.4422406970181 |
L(r)(E,1)/r! |
Ω |
1.2211203485092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27840bn2 6960t2 83520gm2 |
Quadratic twists by: -4 8 -3 |