Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57720c |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24935040000 = 210 · 34 · 54 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10336,-400964] |
[a1,a2,a3,a4,a6] |
Generators |
[1978:27825:8] |
Generators of the group modulo torsion |
j |
119267818134916/24350625 |
j-invariant |
L |
5.207637465872 |
L(r)(E,1)/r! |
Ω |
0.47349265769467 |
Real period |
R |
5.4991744658566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440v4 |
Quadratic twists by: -4 |