Atkin-Lehner |
2- 3+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010bq |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
24915058150500 = 22 · 36 · 53 · 77 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-73256,7597253] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:3563:1] |
Generators of the group modulo torsion |
j |
369543396484081/211774500 |
j-invariant |
L |
7.6279634008058 |
L(r)(E,1)/r! |
Ω |
0.66379789455707 |
Real period |
R |
2.8728485778435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067371 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430br1 |
Quadratic twists by: -7 |