Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350du |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
39513600 |
Modular degree for the optimal curve |
Δ |
-2.9856159561147E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1299240230,-18044127462603] |
[a1,a2,a3,a4,a6] |
j |
-21293376668673906679951249/26211168887701209984 |
j-invariant |
L |
4.7523338611219 |
L(r)(E,1)/r! |
Ω |
0.01257231180205 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450i1 2574d1 |
Quadratic twists by: -3 5 |