Atkin-Lehner |
2+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63206d |
Isogeny class |
Conductor |
63206 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-1423904768 = -1 · 212 · 112 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 1 0 1 11- 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2721,54420] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-21:1] [-21:330:1] |
Generators of the group modulo torsion |
j |
-13176290934625/8425472 |
j-invariant |
L |
9.0820293648392 |
L(r)(E,1)/r! |
Ω |
1.5005668046534 |
Real period |
R |
1.5130998061325 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63206g1 |
Quadratic twists by: 13 |