Atkin-Lehner |
7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
74851g |
Isogeny class |
Conductor |
74851 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
94164111682207 = 77 · 174 · 372 |
Discriminant |
Eigenvalues |
-1 -1 0 7- -6 -6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-48558,4071724] |
[a1,a2,a3,a4,a6] |
Generators |
[256:-3044:1] [-143:2920:1] |
Generators of the group modulo torsion |
j |
151604103966625/1127430367 |
j-invariant |
L |
4.8984030172123 |
L(r)(E,1)/r! |
Ω |
0.6044508048629 |
Real period |
R |
0.19294976916429 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74851a1 |
Quadratic twists by: 17 |