Atkin-Lehner |
2+ 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
12810d |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-105490350 = -1 · 2 · 34 · 52 · 7 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -6 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,18,-486] |
[a1,a2,a3,a4,a6] |
Generators |
[9:18:1] |
Generators of the group modulo torsion |
j |
590589719/105490350 |
j-invariant |
L |
2.8803929148429 |
L(r)(E,1)/r! |
Ω |
0.88854799051799 |
Real period |
R |
1.6208426250358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480cq2 38430bi2 64050cq2 89670s2 |
Quadratic twists by: -4 -3 5 -7 |