Atkin-Lehner |
7+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
79261a |
Isogeny class |
Conductor |
79261 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-9324977389 = -1 · 77 · 132 · 67 |
Discriminant |
Eigenvalues |
-1 -2 2 7+ -3 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-62,-4655] |
[a1,a2,a3,a4,a6] |
Generators |
[49:308:1] |
Generators of the group modulo torsion |
j |
-156116857/55177381 |
j-invariant |
L |
2.3822815097421 |
L(r)(E,1)/r! |
Ω |
0.58096276057667 |
Real period |
R |
4.1005752394542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79261d1 |
Quadratic twists by: 13 |