Atkin-Lehner |
2+ 3+ 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950t |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
496800 |
Modular degree for the optimal curve |
Δ |
20576784375000 = 23 · 35 · 58 · 73 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -5 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39825,-3067875] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:-30:1] |
Generators of the group modulo torsion |
j |
17883316793785/52676568 |
j-invariant |
L |
1.8377302875654 |
L(r)(E,1)/r! |
Ω |
0.33801508839771 |
Real period |
R |
0.6040921283567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950cl1 |
Quadratic twists by: 5 |