Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230dg |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1100319066000 = 24 · 310 · 53 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2993,38481] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:306:1] |
Generators of the group modulo torsion |
j |
3054936851/1134000 |
j-invariant |
L |
8.9582546740592 |
L(r)(E,1)/r! |
Ω |
0.79626687350463 |
Real period |
R |
1.4062896139527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410j1 76230ba1 |
Quadratic twists by: -3 -11 |