Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626l |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
72990720 |
Modular degree for the optimal curve |
Δ |
2.9929466624682E+27 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-377017605,-1005471617067] |
[a1,a2,a3,a4,a6] |
j |
336811992790162430449/170089663019614208 |
j-invariant |
L |
2.6014889676023 |
L(r)(E,1)/r! |
Ω |
0.03613179128699 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7514h1 3978f1 |
Quadratic twists by: -3 17 |