Atkin-Lehner |
3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42891m |
Isogeny class |
Conductor |
42891 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5520 |
Modular degree for the optimal curve |
Δ |
-128673 = -1 · 32 · 17 · 292 |
Discriminant |
Eigenvalues |
-1 3- -2 -3 3 3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-119,-510] |
[a1,a2,a3,a4,a6] |
Generators |
[13:7:1] |
Generators of the group modulo torsion |
j |
-221715817/153 |
j-invariant |
L |
3.4906629259595 |
L(r)(E,1)/r! |
Ω |
0.72267967156055 |
Real period |
R |
2.4150831020515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128673f1 42891d1 |
Quadratic twists by: -3 29 |