Atkin-Lehner |
2+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
33040d |
Isogeny class |
Conductor |
33040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
-136049303600 = -1 · 24 · 52 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3982,98331] |
[a1,a2,a3,a4,a6] |
Generators |
[626:4125:8] |
Generators of the group modulo torsion |
j |
-436422865545216/8503081475 |
j-invariant |
L |
5.0823520507425 |
L(r)(E,1)/r! |
Ω |
1.037607132368 |
Real period |
R |
4.8981467958337 |
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 |
16520b1 |
Quadratic twists by: -4 |