Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3675j |
Isogeny class |
Conductor |
3675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-115810734375 = -1 · 32 · 56 · 77 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1199,3623] |
[a1,a2,a3,a4,a6] |
Generators |
[61:521:1] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
4.991201083102 |
L(r)(E,1)/r! |
Ω |
0.64603245757805 |
Real period |
R |
3.8629646425304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800gb1 11025ba1 147a1 525b1 |
Quadratic twists by: -4 -3 5 -7 |