Atkin-Lehner |
5+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
79135l |
Isogeny class |
Conductor |
79135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-950015675 = -1 · 52 · 76 · 17 · 19 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- 2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16,-1478] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-123:1] |
Generators of the group modulo torsion |
j |
-4096/8075 |
j-invariant |
L |
2.1586569532902 |
L(r)(E,1)/r! |
Ω |
0.70993028725146 |
Real period |
R |
0.76016511364584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1615c1 |
Quadratic twists by: -7 |