Atkin-Lehner |
2- 3- 37+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
52614g |
Isogeny class |
Conductor |
52614 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
-4040123832 = -1 · 23 · 37 · 37 · 792 |
Discriminant |
Eigenvalues |
2- 3- 2 -5 1 7 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-734,8421] |
[a1,a2,a3,a4,a6] |
Generators |
[3:77:1] |
Generators of the group modulo torsion |
j |
-59914169497/5542008 |
j-invariant |
L |
9.9607236034927 |
L(r)(E,1)/r! |
Ω |
1.3584106321503 |
Real period |
R |
0.61105256440467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17538b1 |
Quadratic twists by: -3 |