Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104bz |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-14575482137739264 = -1 · 222 · 3 · 75 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 2 -3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,58879,1851297] |
[a1,a2,a3,a4,a6] |
Generators |
[277:6272:1] |
Generators of the group modulo torsion |
j |
86110813111679/55601051856 |
j-invariant |
L |
4.8917887091811 |
L(r)(E,1)/r! |
Ω |
0.24651263875338 |
Real period |
R |
0.9921983582579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104s1 13776s1 |
Quadratic twists by: -4 8 |