Atkin-Lehner |
3+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
10605a |
Isogeny class |
Conductor |
10605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1821949605 = -1 · 36 · 5 · 72 · 1012 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 0 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-371,3278] |
[a1,a2,a3,a4,a6] |
Generators |
[2:49:1] |
Generators of the group modulo torsion |
j |
-5648311006129/1821949605 |
j-invariant |
L |
2.0352646807108 |
L(r)(E,1)/r! |
Ω |
1.4037100035452 |
Real period |
R |
0.72495909966108 |
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 |
31815m2 53025o2 74235n2 |
Quadratic twists by: -3 5 -7 |