Atkin-Lehner |
2- 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
123900k |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1249432380000000 = 28 · 32 · 57 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47908,3676312] |
[a1,a2,a3,a4,a6] |
j |
3040163275984/312358095 |
j-invariant |
L |
2.8231958782952 |
L(r)(E,1)/r! |
Ω |
0.47053271479181 |
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 |
24780j2 |
Quadratic twists by: 5 |