Atkin-Lehner |
2+ 3- 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258s |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-42873126912 = -1 · 220 · 32 · 7 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,510,-8876] |
[a1,a2,a3,a4,a6] |
j |
14711527911527/42873126912 |
j-invariant |
L |
2.3423491373431 |
L(r)(E,1)/r! |
Ω |
0.58558728433567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774cf1 |
Quadratic twists by: -3 |