Atkin-Lehner |
2+ 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10074m |
Isogeny class |
Conductor |
10074 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
200190528 = 26 · 34 · 232 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -6 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-185,668] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:40:1] |
Generators of the group modulo torsion |
j |
694800198793/200190528 |
j-invariant |
L |
4.2816011679714 |
L(r)(E,1)/r! |
Ω |
1.6607071914985 |
Real period |
R |
0.64454486466517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80592l1 30222f1 |
Quadratic twists by: -4 -3 |