Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312cn |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-81206181888 = -1 · 218 · 3 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 1 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1953,35295] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:204:1] |
Generators of the group modulo torsion |
j |
-3144219625/309777 |
j-invariant |
L |
7.5827489529 |
L(r)(E,1)/r! |
Ω |
1.0563852885267 |
Real period |
R |
3.5890072640682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312d1 29328k1 |
Quadratic twists by: -4 8 |