Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312bn |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
41287680 |
Modular degree for the optimal curve |
Δ |
-1.0493794747824E+26 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-483207375,-4117954178702] |
[a1,a2,a3,a4,a6] |
Generators |
[224986884390668923323689:125356150418767546798277478:721041726282339097] |
Generators of the group modulo torsion |
j |
-568288203127281250000/4779437994366903 |
j-invariant |
L |
7.2116293668157 |
L(r)(E,1)/r! |
Ω |
0.01609230209297 |
Real period |
R |
28.008847477243 |
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 |
34104o1 14616j1 |
Quadratic twists by: -3 -7 |