Atkin-Lehner |
3- 5+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
67545g |
Isogeny class |
Conductor |
67545 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-1688696259975 = -1 · 38 · 52 · 194 · 79 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2250,46575] |
[a1,a2,a3,a4,a6] |
Generators |
[198:2637:8] |
Generators of the group modulo torsion |
j |
1727568035999/2316455775 |
j-invariant |
L |
5.3427704828837 |
L(r)(E,1)/r! |
Ω |
0.56668695211687 |
Real period |
R |
2.3570202487061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22515f1 |
Quadratic twists by: -3 |