Atkin-Lehner |
2+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2576c |
Isogeny class |
Conductor |
2576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
127459985408 = 211 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2672,-51212] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:46:1] |
Generators of the group modulo torsion |
j |
1030541881826/62236321 |
j-invariant |
L |
2.5407534920036 |
L(r)(E,1)/r! |
Ω |
0.66652192233467 |
Real period |
R |
1.9059789384751 |
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 |
1288i2 10304t2 23184j2 64400u2 |
Quadratic twists by: -4 8 -3 5 |