Atkin-Lehner |
2- 3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62010bd |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-88411695091200 = -1 · 29 · 33 · 52 · 136 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5947,415037] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:256:1] |
Generators of the group modulo torsion |
j |
861632803834893/3274507225600 |
j-invariant |
L |
10.158477299697 |
L(r)(E,1)/r! |
Ω |
0.43019412333239 |
Real period |
R |
0.98390439231495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998244 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62010h2 |
Quadratic twists by: -3 |