Atkin-Lehner |
2- 3- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690bg |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
579000960000 = 210 · 36 · 54 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2633,37577] |
[a1,a2,a3,a4,a6] |
Generators |
[15:28:1] |
Generators of the group modulo torsion |
j |
2768178670921/794240000 |
j-invariant |
L |
10.569788742613 |
L(r)(E,1)/r! |
Ω |
0.85499940492664 |
Real period |
R |
1.2362334662676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999645419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12410h1 |
Quadratic twists by: -3 |