Atkin-Lehner |
2- 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992ce |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
535680 |
Modular degree for the optimal curve |
Δ |
-8620948697088 = -1 · 212 · 3 · 75 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 3 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-207285,36393981] |
[a1,a2,a3,a4,a6] |
Generators |
[260:91:1] |
Generators of the group modulo torsion |
j |
-240474752802390016/2104723803 |
j-invariant |
L |
4.535903030402 |
L(r)(E,1)/r! |
Ω |
0.66071421119244 |
Real period |
R |
0.45767675379407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5187f1 |
Quadratic twists by: -4 |