Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090k |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
246400 |
Modular degree for the optimal curve |
Δ |
-39207446176893750 = -1 · 2 · 311 · 55 · 77 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -1 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9990,-9531950] |
[a1,a2,a3,a4,a6] |
Generators |
[4198:88945:8] |
Generators of the group modulo torsion |
j |
-151257563987041/53782505043750 |
j-invariant |
L |
3.5344084815087 |
L(r)(E,1)/r! |
Ω |
0.16300162017973 |
Real period |
R |
5.4208180225625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9030q1 |
Quadratic twists by: -3 |