Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fp |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2162688 |
Modular degree for the optimal curve |
Δ |
-2.7520277507044E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -6 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1578336,-233549192] |
[a1,a2,a3,a4,a6] |
Generators |
[209:10269:1] |
Generators of the group modulo torsion |
j |
582498235727347712/368659410191667 |
j-invariant |
L |
7.0029988048087 |
L(r)(E,1)/r! |
Ω |
0.099879123149914 |
Real period |
R |
4.3821712828407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001775 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608be1 19152bv1 25536dq1 |
Quadratic twists by: -4 8 -3 |