Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350cx |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3265920 |
Modular degree for the optimal curve |
Δ |
-12923857800000000 = -1 · 29 · 39 · 58 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6509138,-6394663969] |
[a1,a2,a3,a4,a6] |
Generators |
[178469:75298567:1] |
Generators of the group modulo torsion |
j |
-78078977789945646145/33085075968 |
j-invariant |
L |
8.5485611667604 |
L(r)(E,1)/r! |
Ω |
0.047259451609743 |
Real period |
R |
10.049208118924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350z1 |
Quadratic twists by: 5 |