Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200dx |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
35426304000 = 215 · 32 · 53 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3568,-82732] |
[a1,a2,a3,a4,a6] |
Generators |
[98:720:1] |
Generators of the group modulo torsion |
j |
9814089221/69192 |
j-invariant |
L |
8.0508898288763 |
L(r)(E,1)/r! |
Ω |
0.61797049405986 |
Real period |
R |
1.6284939787304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4650bg2 111600gm2 37200ci2 |
Quadratic twists by: -4 -3 5 |