Atkin-Lehner |
2+ 3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650bf |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
2032128 |
Modular degree for the optimal curve |
Δ |
19987506945000000 = 26 · 37 · 57 · 73 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1948626,-1047125852] |
[a1,a2,a3,a4,a6] |
Generators |
[-808:516:1] |
Generators of the group modulo torsion |
j |
52370756156362628881/1279200444480 |
j-invariant |
L |
4.3441904760415 |
L(r)(E,1)/r! |
Ω |
0.12778153316472 |
Real period |
R |
1.2141790445422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330x1 |
Quadratic twists by: 5 |