Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208db |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2935296 |
Modular degree for the optimal curve |
Δ |
-8.5877428727423E+19 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -3 -3 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,262624,442927092] |
[a1,a2,a3,a4,a6] |
Generators |
[-572:10290:1] |
Generators of the group modulo torsion |
j |
12119452073/519561216 |
j-invariant |
L |
10.394461310342 |
L(r)(E,1)/r! |
Ω |
0.14518148179733 |
Real period |
R |
2.5570117931571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8526u1 68208ca1 |
Quadratic twists by: -4 -7 |