Atkin-Lehner |
2+ 3- 7+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578h |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
5.2781195328135E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -1 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6244749,5905467621] |
[a1,a2,a3,a4,a6] |
Generators |
[-2775:44511:1] |
Generators of the group modulo torsion |
j |
36943767661565610126289/724021883787862016 |
j-invariant |
L |
5.1888777207639 |
L(r)(E,1)/r! |
Ω |
0.16473989980839 |
Real period |
R |
1.1249069688415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842g1 |
Quadratic twists by: -3 |