Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
3752i |
Isogeny class |
Conductor |
3752 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
151214011984 = 24 · 7 · 675 |
Discriminant |
Eigenvalues |
2+ -3 1 7- 0 -5 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1342,2833] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:67:1] |
Generators of the group modulo torsion |
j |
16705569171456/9450875749 |
j-invariant |
L |
2.3465407081431 |
L(r)(E,1)/r! |
Ω |
0.88504534032736 |
Real period |
R |
0.26513225946991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7504f1 30016w1 33768x1 93800t1 |
Quadratic twists by: -4 8 -3 5 |