Atkin-Lehner |
3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
27195g |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-457066365 = -1 · 3 · 5 · 77 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 5 -4 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1,1028] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:28:1] |
Generators of the group modulo torsion |
j |
-1/3885 |
j-invariant |
L |
2.1155853908889 |
L(r)(E,1)/r! |
Ω |
1.325348616009 |
Real period |
R |
0.39906205909422 |
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 |
81585bf1 3885i1 |
Quadratic twists by: -3 -7 |