Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27300c |
Isogeny class |
Conductor |
27300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1074937500000000 = 28 · 33 · 512 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39508,2591512] |
[a1,a2,a3,a4,a6] |
j |
1705021456336/268734375 |
j-invariant |
L |
0.93947841454196 |
L(r)(E,1)/r! |
Ω |
0.46973920727122 |
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 |
109200ga2 81900i2 5460g2 |
Quadratic twists by: -4 -3 5 |