Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312bn |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.5917867840739E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7746856635,-262443829191194] |
[a1,a2,a3,a4,a6] |
Generators |
[124362162376313716180673644525023833695:66977795368218580761096243390358708168428:392187571239773600740289553326333] |
Generators of the group modulo torsion |
j |
585442900448434507310500/40897317500487 |
j-invariant |
L |
7.2116293668157 |
L(r)(E,1)/r! |
Ω |
0.01609230209297 |
Real period |
R |
56.017694954486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001212 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34104o2 14616j2 |
Quadratic twists by: -3 -7 |