Atkin-Lehner |
2+ 3- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
56070g |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-336483246960 = -1 · 24 · 39 · 5 · 74 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1665,-10179] |
[a1,a2,a3,a4,a6] |
Generators |
[10:81:1] |
Generators of the group modulo torsion |
j |
699990535439/461568240 |
j-invariant |
L |
3.3977241383198 |
L(r)(E,1)/r! |
Ω |
0.54798252764398 |
Real period |
R |
3.1002121115874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18690o1 |
Quadratic twists by: -3 |