Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400bt |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-260647686000000000 = -1 · 210 · 33 · 59 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,133792,-15720912] |
[a1,a2,a3,a4,a6] |
Generators |
[932356:-112572759:64] |
Generators of the group modulo torsion |
j |
27436/27 |
j-invariant |
L |
9.2115349885832 |
L(r)(E,1)/r! |
Ω |
0.16919637093428 |
Real period |
R |
9.0738106196792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101400cm1 600h1 |
Quadratic twists by: 5 13 |