Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680g |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-2002900717520640 = -1 · 28 · 33 · 5 · 74 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7647,-2168546] |
[a1,a2,a3,a4,a6] |
Generators |
[174:1330:1] |
Generators of the group modulo torsion |
j |
-7154730064368/289771515845 |
j-invariant |
L |
6.7248505920895 |
L(r)(E,1)/r! |
Ω |
0.20366286616656 |
Real period |
R |
4.1274403100517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006361 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840bg1 85680c1 |
Quadratic twists by: -4 -3 |