Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210ba |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
4596480 |
Modular degree for the optimal curve |
Δ |
-8.0458670040269E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5170163,-6253348594] |
[a1,a2,a3,a4,a6] |
Generators |
[4400:234837:1] |
Generators of the group modulo torsion |
j |
-129911637598070951449/68388741120000000 |
j-invariant |
L |
5.8610009353824 |
L(r)(E,1)/r! |
Ω |
0.048852771974863 |
Real period |
R |
1.4282469107791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9030a1 |
Quadratic twists by: -7 |