Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4998bp |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-20151936 = -1 · 27 · 33 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -5 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,55,153] |
[a1,a2,a3,a4,a6] |
Generators |
[4:19:1] |
Generators of the group modulo torsion |
j |
53582633/58752 |
j-invariant |
L |
6.5232727691042 |
L(r)(E,1)/r! |
Ω |
1.4357409687518 |
Real period |
R |
0.10817830074671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39984cb1 14994w1 124950r1 4998bc1 |
Quadratic twists by: -4 -3 5 -7 |