Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120r |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-117552960000 = -1 · 29 · 32 · 54 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1224,1224] |
[a1,a2,a3,a4,a6] |
Generators |
[99:1050:1] |
Generators of the group modulo torsion |
j |
395770245688/229595625 |
j-invariant |
L |
6.6058914406794 |
L(r)(E,1)/r! |
Ω |
0.63094845520678 |
Real period |
R |
2.6174449695927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120bm2 114240bz3 |
Quadratic twists by: -4 8 |