Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83300p |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3965145423820000000 = -1 · 28 · 57 · 79 · 173 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 6 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-447533,149710063] |
[a1,a2,a3,a4,a6] |
Generators |
[793:17150:1] |
Generators of the group modulo torsion |
j |
-21064523776/8425795 |
j-invariant |
L |
5.1173293344865 |
L(r)(E,1)/r! |
Ω |
0.23237385443392 |
Real period |
R |
0.91758195428326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16660e2 11900b2 |
Quadratic twists by: 5 -7 |