Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090q |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-49941675270144000 = -1 · 216 · 310 · 53 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-337680,-76204800] |
[a1,a2,a3,a4,a6] |
Generators |
[1197:34524:1] |
Generators of the group modulo torsion |
j |
-5841345907900903681/68507099136000 |
j-invariant |
L |
3.7815991747167 |
L(r)(E,1)/r! |
Ω |
0.098955469635012 |
Real period |
R |
4.7768950880946 |
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 |
9030bc1 |
Quadratic twists by: -3 |