Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680co |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
254839737600 = 28 · 39 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9327,345854] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:612:1] |
Generators of the group modulo torsion |
j |
480819584464/1365525 |
j-invariant |
L |
7.2687088221564 |
L(r)(E,1)/r! |
Ω |
0.98749598431703 |
Real period |
R |
1.8401869311073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003731 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840ba2 28560n2 |
Quadratic twists by: -4 -3 |