Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bg |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14622720 |
Modular degree for the optimal curve |
Δ |
4.3792941253158E+23 |
Discriminant |
Eigenvalues |
2- 3- 4 0 0 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19319043,7380764930] |
[a1,a2,a3,a4,a6] |
Generators |
[446109320692701559967645:-85361207254477442621898752:12015361708418180125] |
Generators of the group modulo torsion |
j |
267050295730790058241/146661674185654272 |
j-invariant |
L |
10.658587842966 |
L(r)(E,1)/r! |
Ω |
0.081788063781067 |
Real period |
R |
32.579900290905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14706l1 39216o1 |
Quadratic twists by: -4 -3 |