Atkin-Lehner |
2+ 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
61206d |
Isogeny class |
Conductor |
61206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4406400 |
Modular degree for the optimal curve |
Δ |
-4.0017237590324E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 5 2 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1224332,603247440] |
[a1,a2,a3,a4,a6] |
Generators |
[2533:116045:1] |
Generators of the group modulo torsion |
j |
-191202526081/37698048 |
j-invariant |
L |
3.3545060808385 |
L(r)(E,1)/r! |
Ω |
0.19579331427427 |
Real period |
R |
2.1416117384419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
606e1 |
Quadratic twists by: 101 |