Atkin-Lehner |
2- 5+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970x |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
3760128 |
Modular degree for the optimal curve |
Δ |
1817459690366566400 = 218 · 52 · 77 · 114 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2364496,-1398138624] |
[a1,a2,a3,a4,a6] |
Generators |
[-884:1652:1] |
Generators of the group modulo torsion |
j |
12426568967448785521/15448152473600 |
j-invariant |
L |
6.3061694704655 |
L(r)(E,1)/r! |
Ω |
0.12175794989972 |
Real period |
R |
1.4386853063498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041537 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710g1 |
Quadratic twists by: -7 |