Atkin-Lehner |
2+ 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
3066b |
Isogeny class |
Conductor |
3066 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
515088 = 24 · 32 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -6 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70,196] |
[a1,a2,a3,a4,a6] |
Generators |
[0:14:1] |
Generators of the group modulo torsion |
j |
38786091625/515088 |
j-invariant |
L |
1.9636522897152 |
L(r)(E,1)/r! |
Ω |
2.944109121475 |
Real period |
R |
0.33348836756625 |
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 |
24528u1 98112s1 9198h1 76650da1 |
Quadratic twists by: -4 8 -3 5 |