Atkin-Lehner |
2- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
73346x |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-323151782739968 = -1 · 219 · 76 · 132 · 31 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -5 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3819,868057] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:118:1] [19:-906:1] |
Generators of the group modulo torsion |
j |
-36449627139913/1912140726272 |
j-invariant |
L |
11.362656379308 |
L(r)(E,1)/r! |
Ω |
0.44946365060451 |
Real period |
R |
0.22175858769792 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73346e1 |
Quadratic twists by: 13 |