Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760s |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5037373850753433600 = 224 · 318 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-545985,-111405375] |
[a1,a2,a3,a4,a6] |
Generators |
[412391:10675456:343] |
Generators of the group modulo torsion |
j |
68663623745397169/19216056254400 |
j-invariant |
L |
5.8480395195198 |
L(r)(E,1)/r! |
Ω |
0.17935020588411 |
Real period |
R |
8.151704497204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760cv2 930n2 89280bq2 |
Quadratic twists by: -4 8 -3 |