Atkin-Lehner |
2+ 3- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27528b |
Isogeny class |
Conductor |
27528 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2342015876818944 = -1 · 211 · 39 · 31 · 374 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 1 5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10456,-2367952] |
[a1,a2,a3,a4,a6] |
j |
-61735080432818/1143562439853 |
j-invariant |
L |
3.5652211407838 |
L(r)(E,1)/r! |
Ω |
0.19806784115468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55056b1 82584f1 |
Quadratic twists by: -4 -3 |