Atkin-Lehner |
2- 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
11130ba |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
28059286500000 = 25 · 32 · 56 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11725,412067] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:786:1] |
Generators of the group modulo torsion |
j |
178264383385208401/28059286500000 |
j-invariant |
L |
6.2774678374455 |
L(r)(E,1)/r! |
Ω |
0.63653314393973 |
Real period |
R |
0.10957739326279 |
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 |
89040cn2 33390l2 55650t2 77910ci2 |
Quadratic twists by: -4 -3 5 -7 |