Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560du |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6914994095520000 = -1 · 28 · 32 · 54 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39860,-2560600] |
[a1,a2,a3,a4,a6] |
Generators |
[22830:364285:216] |
Generators of the group modulo torsion |
j |
27358024514264624/27011695685625 |
j-invariant |
L |
7.2615847102747 |
L(r)(E,1)/r! |
Ω |
0.22889185795382 |
Real period |
R |
7.9312396421498 |
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 |
7140h2 114240fq2 85680dt2 |
Quadratic twists by: -4 8 -3 |