Atkin-Lehner |
2- 3- 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258bi |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-9349494 = -1 · 2 · 3 · 74 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,24,-138] |
[a1,a2,a3,a4,a6] |
j |
1524845951/9349494 |
j-invariant |
L |
4.6101495908183 |
L(r)(E,1)/r! |
Ω |
1.1525373977047 |
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 |
81774bb1 |
Quadratic twists by: -3 |