Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380g |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-7598555691499987200 = -1 · 28 · 310 · 52 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,491204,5404696] |
[a1,a2,a3,a4,a6] |
Generators |
[6:2890:1] |
Generators of the group modulo torsion |
j |
2121167764784/1229695425 |
j-invariant |
L |
4.3704732805231 |
L(r)(E,1)/r! |
Ω |
0.14082772366454 |
Real period |
R |
1.293090927556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140m2 |
Quadratic twists by: 17 |