Atkin-Lehner |
2- 3- 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010bl |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-7342415100 = -1 · 22 · 38 · 52 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-518,6257] |
[a1,a2,a3,a4,a6] |
Generators |
[13:33:1] |
Generators of the group modulo torsion |
j |
-21047437081/10071900 |
j-invariant |
L |
9.6983390467097 |
L(r)(E,1)/r! |
Ω |
1.2341637881306 |
Real period |
R |
1.9645567184718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670f1 |
Quadratic twists by: -3 |