Atkin-Lehner |
2- 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382bw |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
-2333148062425488 = -1 · 24 · 33 · 79 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30234,3078900] |
[a1,a2,a3,a4,a6] |
Generators |
[102:-1080:1] |
Generators of the group modulo torsion |
j |
-75740658391/57817584 |
j-invariant |
L |
11.01014673413 |
L(r)(E,1)/r! |
Ω |
0.42281929446558 |
Real period |
R |
1.0849933293132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74382bc1 |
Quadratic twists by: -7 |