Atkin-Lehner |
2+ 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410h |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
10900707840000 = 212 · 38 · 54 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5895,73021] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:242:1] [-18:425:1] |
Generators of the group modulo torsion |
j |
31080575499121/14952960000 |
j-invariant |
L |
7.1650086650282 |
L(r)(E,1)/r! |
Ω |
0.64076731764956 |
Real period |
R |
2.7954799143458 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470x1 |
Quadratic twists by: -3 |