Atkin-Lehner |
2- 3- 7- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822bs |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
7810729425692928 = 28 · 312 · 72 · 17 · 413 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-210614,-36906555] |
[a1,a2,a3,a4,a6] |
Generators |
[-255:539:1] |
Generators of the group modulo torsion |
j |
1417280982759547417/10714306482432 |
j-invariant |
L |
13.595996807509 |
L(r)(E,1)/r! |
Ω |
0.22295943027003 |
Real period |
R |
3.811230587118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274k1 |
Quadratic twists by: -3 |