Atkin-Lehner |
2+ 3- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
79050bh |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
-94560207311286000 = -1 · 24 · 311 · 53 · 172 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-90461,18118568] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:5146:1] |
Generators of the group modulo torsion |
j |
-654924068122182461/756481658490288 |
j-invariant |
L |
4.8709170887071 |
L(r)(E,1)/r! |
Ω |
0.30633751799847 |
Real period |
R |
0.18068740296799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79050bw1 |
Quadratic twists by: 5 |