Atkin-Lehner |
2- 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010cj |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-500317256250 = -1 · 2 · 39 · 55 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -4 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1175,30785] |
[a1,a2,a3,a4,a6] |
Generators |
[14:1439:8] |
Generators of the group modulo torsion |
j |
3661155128351/10210556250 |
j-invariant |
L |
11.082507011752 |
L(r)(E,1)/r! |
Ω |
0.65340393135051 |
Real period |
R |
3.3922376204865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010co1 |
Quadratic twists by: -7 |