Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8410b |
Isogeny class |
Conductor |
8410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
8.2169381503946E+23 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 0 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37854268,-78335292312] |
[a1,a2,a3,a4,a6] |
Generators |
[-73175318986951660971249:-2256643272230601095350313:22709881982154172779] |
Generators of the group modulo torsion |
j |
14258975033569/1953125000 |
j-invariant |
L |
4.0927776146642 |
L(r)(E,1)/r! |
Ω |
0.061418249361786 |
Real period |
R |
33.318904862914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67280p2 75690bm2 42050w2 8410k2 |
Quadratic twists by: -4 -3 5 29 |