Atkin-Lehner |
2- 3+ 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
34710z |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2188434169296180 = 22 · 316 · 5 · 134 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-271139230,-1718561988505] |
[a1,a2,a3,a4,a6] |
Generators |
[1028415:176980943:27] |
Generators of the group modulo torsion |
j |
2204452713028568967250193437921/2188434169296180 |
j-invariant |
L |
7.5131324401596 |
L(r)(E,1)/r! |
Ω |
0.03720501338147 |
Real period |
R |
12.621169429382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104130n8 |
Quadratic twists by: -3 |