Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090z |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-129831750720000 = -1 · 29 · 36 · 54 · 7 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10656,345600] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:122:1] |
Generators of the group modulo torsion |
j |
183550636104191/178095680000 |
j-invariant |
L |
4.7899001157561 |
L(r)(E,1)/r! |
Ω |
0.38467532654403 |
Real period |
R |
1.0376499750212 |
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 |
3010f1 |
Quadratic twists by: -3 |