Atkin-Lehner |
5+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79135f |
Isogeny class |
Conductor |
79135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
91008 |
Modular degree for the optimal curve |
Δ |
664914032125 = 53 · 74 · 17 · 194 |
Discriminant |
Eigenvalues |
0 1 5+ 7+ 2 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9571,355086] |
[a1,a2,a3,a4,a6] |
Generators |
[66:123:1] |
Generators of the group modulo torsion |
j |
40387677159424/276932125 |
j-invariant |
L |
5.8366978907393 |
L(r)(E,1)/r! |
Ω |
0.91339849692597 |
Real period |
R |
1.5975223049322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79135u1 |
Quadratic twists by: -7 |