Atkin-Lehner |
2+ 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994f |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-2135047908225024 = -1 · 212 · 32 · 138 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 -4 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,31431,-571995] |
[a1,a2,a3,a4,a6] |
Generators |
[45:945:1] |
Generators of the group modulo torsion |
j |
711404493983/442331136 |
j-invariant |
L |
2.5282709635279 |
L(r)(E,1)/r! |
Ω |
0.26734194907371 |
Real period |
R |
4.7285339458147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5538m1 |
Quadratic twists by: 13 |