Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560bd |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5621760000 = 214 · 32 · 54 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 6 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1201,15215] |
[a1,a2,a3,a4,a6] |
j |
11702923216/343125 |
j-invariant |
L |
2.6932245670554 |
L(r)(E,1)/r! |
Ω |
1.3466122827312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560cg2 7320o2 |
Quadratic twists by: -4 8 |