Atkin-Lehner |
2- 3- 7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
74214u |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-4662727285104 = -1 · 24 · 312 · 72 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2641,-90457] |
[a1,a2,a3,a4,a6] |
Generators |
[342:2345:8] |
Generators of the group modulo torsion |
j |
2795474556503/6396059376 |
j-invariant |
L |
11.919189648604 |
L(r)(E,1)/r! |
Ω |
0.40025398286455 |
Real period |
R |
3.7223832111987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24738f1 |
Quadratic twists by: -3 |