Atkin-Lehner |
3+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
9345a |
Isogeny class |
Conductor |
9345 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
67368105 = 35 · 5 · 7 · 892 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ -6 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-147,504] |
[a1,a2,a3,a4,a6] |
Generators |
[104:1008:1] |
Generators of the group modulo torsion |
j |
355045312441/67368105 |
j-invariant |
L |
4.3407843172932 |
L(r)(E,1)/r! |
Ω |
1.8571907740406 |
Real period |
R |
4.6745701927531 |
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 |
28035c1 46725t1 65415o1 |
Quadratic twists by: -3 5 -7 |