Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280b |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
110399208377600 = 28 · 52 · 297 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-131476,18386160] |
[a1,a2,a3,a4,a6] |
Generators |
[-3624:156500:27] |
Generators of the group modulo torsion |
j |
1650587344/725 |
j-invariant |
L |
7.8521199099437 |
L(r)(E,1)/r! |
Ω |
0.58411447697027 |
Real period |
R |
6.7213878608619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000281 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33640a2 2320c2 |
Quadratic twists by: -4 29 |