Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800o |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
135588119520000000 = 211 · 3 · 57 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-804008,277186512] |
[a1,a2,a3,a4,a6] |
j |
15267472418/36015 |
j-invariant |
L |
2.6303387327954 |
L(r)(E,1)/r! |
Ω |
0.32879234173693 |
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 |
29400bj4 11760bd3 8400y3 |
Quadratic twists by: -4 5 -7 |