Atkin-Lehner |
2- 3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950ch |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-196741128528000 = -1 · 27 · 33 · 53 · 78 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -5 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,14042,218531] |
[a1,a2,a3,a4,a6] |
Generators |
[205:-3533:1] |
Generators of the group modulo torsion |
j |
2449619734999627/1573929028224 |
j-invariant |
L |
7.5776111385653 |
L(r)(E,1)/r! |
Ω |
0.35254329827651 |
Real period |
R |
0.1919118662285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950be1 |
Quadratic twists by: 5 |