Atkin-Lehner |
2+ 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
2670a |
Isogeny class |
Conductor |
2670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1039393620 = -1 · 22 · 38 · 5 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43,1537] |
[a1,a2,a3,a4,a6] |
Generators |
[7:37:1] |
Generators of the group modulo torsion |
j |
-9116230969/1039393620 |
j-invariant |
L |
1.9493389891863 |
L(r)(E,1)/r! |
Ω |
1.2774459240522 |
Real period |
R |
0.762982977394 |
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 |
21360l2 85440s2 8010k2 13350o2 |
Quadratic twists by: -4 8 -3 5 |