Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33516s |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
498729743568 = 24 · 314 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2100,14749] |
[a1,a2,a3,a4,a6] |
Generators |
[63:364:1] |
Generators of the group modulo torsion |
j |
256000000/124659 |
j-invariant |
L |
5.6012598971768 |
L(r)(E,1)/r! |
Ω |
0.8272151783017 |
Real period |
R |
3.3856123800075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172t1 33516f1 |
Quadratic twists by: -3 -7 |