Atkin-Lehner |
2- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
77248p |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-14750668757663744 = -1 · 223 · 173 · 713 |
Discriminant |
Eigenvalues |
2- 1 3 -5 0 1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,61311,-22657] |
[a1,a2,a3,a4,a6] |
Generators |
[4831:336256:1] |
Generators of the group modulo torsion |
j |
97228123877087/56269335776 |
j-invariant |
L |
7.6815118712674 |
L(r)(E,1)/r! |
Ω |
0.23542299080278 |
Real period |
R |
2.7190462024708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77248c2 19312g2 |
Quadratic twists by: -4 8 |