Atkin-Lehner |
2+ 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40296f |
Isogeny class |
Conductor |
40296 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
1240926596014851072 = 210 · 322 · 232 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -2 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-485264,-118721808] |
[a1,a2,a3,a4,a6] |
Generators |
[1039:22356:1] |
Generators of the group modulo torsion |
j |
12341242091598249028/1211842378920753 |
j-invariant |
L |
5.8295146164966 |
L(r)(E,1)/r! |
Ω |
0.1820285303413 |
Real period |
R |
1.4556945365479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80592a1 120888f1 |
Quadratic twists by: -4 -3 |