Atkin-Lehner |
2- 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74160bb |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-58321797120 = -1 · 222 · 33 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 2 2 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93,-11614] |
[a1,a2,a3,a4,a6] |
Generators |
[46:300:1] |
Generators of the group modulo torsion |
j |
804357/527360 |
j-invariant |
L |
7.4243881854801 |
L(r)(E,1)/r! |
Ω |
0.51980108206003 |
Real period |
R |
3.5707833451063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9270e1 74160v1 |
Quadratic twists by: -4 -3 |