Atkin-Lehner |
2+ 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10230l |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-398707518660000 = -1 · 25 · 3 · 54 · 118 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8246,-915748] |
[a1,a2,a3,a4,a6] |
j |
62019664213641191/398707518660000 |
j-invariant |
L |
1.0648649373953 |
L(r)(E,1)/r! |
Ω |
0.26621623434883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840bw3 30690bs3 51150bj3 112530cp3 |
Quadratic twists by: -4 -3 5 -11 |