Atkin-Lehner |
2- 3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
74022t |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
114163686468 = 22 · 34 · 136 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -2 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1271,6213] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:1307:8] |
Generators of the group modulo torsion |
j |
47045881/23652 |
j-invariant |
L |
16.409884244015 |
L(r)(E,1)/r! |
Ω |
0.93098840614136 |
Real period |
R |
4.4065758865109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438g1 |
Quadratic twists by: 13 |