Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230db |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
151217054633272320 = 210 · 39 · 5 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-253397,45455149] |
[a1,a2,a3,a4,a6] |
Generators |
[169:2642:1] |
Generators of the group modulo torsion |
j |
51603494067/4336640 |
j-invariant |
L |
11.568015324555 |
L(r)(E,1)/r! |
Ω |
0.31725791429223 |
Real period |
R |
3.6462495664303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230d1 6930c1 |
Quadratic twists by: -3 -11 |