Atkin-Lehner |
2+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
37520a |
Isogeny class |
Conductor |
37520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
49271264000000 = 211 · 56 · 73 · 672 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11843,-363358] |
[a1,a2,a3,a4,a6] |
j |
89697212681778/24058234375 |
j-invariant |
L |
2.800937039668 |
L(r)(E,1)/r! |
Ω |
0.46682283994704 |
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 |
18760a2 |
Quadratic twists by: -4 |