Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560dx |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
13050777600 = 212 · 32 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-680,3828] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:102:1] |
Generators of the group modulo torsion |
j |
8502154921/3186225 |
j-invariant |
L |
6.504187981141 |
L(r)(E,1)/r! |
Ω |
1.1513744665358 |
Real period |
R |
1.412265985173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1785g2 114240fm2 85680dq2 |
Quadratic twists by: -4 8 -3 |