Atkin-Lehner |
2+ 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
115056g |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1072268534016 = 28 · 38 · 172 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7239,-231770] |
[a1,a2,a3,a4,a6] |
Generators |
[170863:1300320:1331] |
Generators of the group modulo torsion |
j |
224797743952/5745609 |
j-invariant |
L |
8.4825759534159 |
L(r)(E,1)/r! |
Ω |
0.51839041635704 |
Real period |
R |
8.1816480647691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070558 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57528b2 38352g2 |
Quadratic twists by: -4 -3 |