Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440q |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
28631060640000 = 28 · 32 · 54 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7660,-15308] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:490:1] |
Generators of the group modulo torsion |
j |
1650587344/950625 |
j-invariant |
L |
6.7884299524526 |
L(r)(E,1)/r! |
Ω |
0.55560516384782 |
Real period |
R |
1.5272603620501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000426 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1560e2 |
Quadratic twists by: -7 |