Atkin-Lehner |
2- 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256bq |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
7101495042996436992 = 226 · 32 · 72 · 132 · 175 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208710104,-1160479007760] |
[a1,a2,a3,a4,a6] |
Generators |
[-275857812372:-1463791616:33076161] |
Generators of the group modulo torsion |
j |
245467607504992533120574297/1733763438231552 |
j-invariant |
L |
3.7662582739712 |
L(r)(E,1)/r! |
Ω |
0.039720406649693 |
Real period |
R |
11.852403439097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282l1 |
Quadratic twists by: -4 |