Atkin-Lehner |
5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4235a |
Isogeny class |
Conductor |
4235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
636904296875 = 510 · 72 · 113 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2159,3771] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:77:1] |
Generators of the group modulo torsion |
j |
835630707059/478515625 |
j-invariant |
L |
2.6411081992153 |
L(r)(E,1)/r! |
Ω |
0.78035652934509 |
Real period |
R |
1.6922445702043 |
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 |
67760bk2 38115u2 21175n2 29645m2 |
Quadratic twists by: -4 -3 5 -7 |