Atkin-Lehner |
2- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27376d |
Isogeny class |
Conductor |
27376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
204480 |
Modular degree for the optimal curve |
Δ |
48791478272 = 213 · 29 · 593 |
Discriminant |
Eigenvalues |
2- -2 -2 2 3 5 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-991024,379399380] |
[a1,a2,a3,a4,a6] |
j |
26279477046180740017/11911982 |
j-invariant |
L |
1.3689490385416 |
L(r)(E,1)/r! |
Ω |
0.68447451927066 |
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 |
3422g1 109504v1 |
Quadratic twists by: -4 8 |