Atkin-Lehner |
2- 3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
57720ba |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
533055744000 = 211 · 32 · 53 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48160,4051808] |
[a1,a2,a3,a4,a6] |
Generators |
[131:90:1] |
Generators of the group modulo torsion |
j |
6032012214473282/260281125 |
j-invariant |
L |
9.8784250054256 |
L(r)(E,1)/r! |
Ω |
0.86983566264298 |
Real period |
R |
1.8927761164901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440p2 |
Quadratic twists by: -4 |