Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576bo |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
3469733552717824 = 221 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- -4 2 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69057,-6361151] |
[a1,a2,a3,a4,a6] |
Generators |
[817:21952:1] |
Generators of the group modulo torsion |
j |
3442951/328 |
j-invariant |
L |
3.211573651111 |
L(r)(E,1)/r! |
Ω |
0.29630874619398 |
Real period |
R |
1.3548257272783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998462488 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576ct1 4018r1 128576o1 |
Quadratic twists by: -4 8 -7 |