Atkin-Lehner |
2+ 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10230a |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4861296000000 = 210 · 34 · 56 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-169043,-26821587] |
[a1,a2,a3,a4,a6] |
Generators |
[2294:106853:1] |
Generators of the group modulo torsion |
j |
534218964214745686969/4861296000000 |
j-invariant |
L |
2.4402553963163 |
L(r)(E,1)/r! |
Ω |
0.23545079403481 |
Real period |
R |
2.5910460467118 |
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 |
81840cy2 30690bq2 51150cb2 112530bn2 |
Quadratic twists by: -4 -3 5 -11 |