Atkin-Lehner |
2- 3+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
57720u |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7107409920 = 211 · 3 · 5 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,7980] |
[a1,a2,a3,a4,a6] |
Generators |
[8826:292929:8] |
Generators of the group modulo torsion |
j |
27682574402/3470415 |
j-invariant |
L |
6.7924087934496 |
L(r)(E,1)/r! |
Ω |
1.2793832557642 |
Real period |
R |
5.3091274743282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440bc2 |
Quadratic twists by: -4 |