Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
41748d |
Isogeny class |
Conductor |
41748 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-6738729540144 = -1 · 24 · 3 · 711 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 3 -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5161,191374] |
[a1,a2,a3,a4,a6] |
Generators |
[474:2401:8] |
Generators of the group modulo torsion |
j |
-8077950976/3579891 |
j-invariant |
L |
3.8570532486426 |
L(r)(E,1)/r! |
Ω |
0.70074713146556 |
Real period |
R |
1.3760503166737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125244v1 5964d1 |
Quadratic twists by: -3 -7 |