Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4920b |
Isogeny class |
Conductor |
4920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-92622768641280000 = -1 · 211 · 316 · 54 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 4 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63000,-15836148] |
[a1,a2,a3,a4,a6] |
j |
-13502752327134002/45225961250625 |
j-invariant |
L |
2.2177148195419 |
L(r)(E,1)/r! |
Ω |
0.13860717622137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9840i2 39360z2 14760t2 24600bc2 |
Quadratic twists by: -4 8 -3 5 |