Atkin-Lehner |
17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
76313a |
Isogeny class |
Conductor |
76313 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
376992 |
Modular degree for the optimal curve |
Δ |
-103032097290491 = -1 · 17 · 677 |
Discriminant |
Eigenvalues |
0 -1 -2 4 -3 0 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-481819,128889955] |
[a1,a2,a3,a4,a6] |
Generators |
[-491:15711:1] |
Generators of the group modulo torsion |
j |
-136750071808/1139 |
j-invariant |
L |
2.8503552917061 |
L(r)(E,1)/r! |
Ω |
0.53652944765165 |
Real period |
R |
2.6562897021675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1139a1 |
Quadratic twists by: -67 |