Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520i |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4246896640 = -1 · 215 · 5 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,3135] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:44:1] [-1:56:1] |
Generators of the group modulo torsion |
j |
-8/129605 |
j-invariant |
L |
5.9553079564783 |
L(r)(E,1)/r! |
Ω |
1.1002389109586 |
Real period |
R |
1.3531851803186 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520l2 25760c2 |
Quadratic twists by: -4 8 |