Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12180a |
Isogeny class |
Conductor |
12180 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-209354906880 = -1 · 28 · 34 · 5 · 74 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4236,109800] |
[a1,a2,a3,a4,a6] |
Generators |
[41:58:1] |
Generators of the group modulo torsion |
j |
-32843854669264/817792605 |
j-invariant |
L |
3.6416001838096 |
L(r)(E,1)/r! |
Ω |
0.99864941009379 |
Real period |
R |
1.8232625719308 |
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 |
48720ck2 36540l2 60900v2 85260y2 |
Quadratic twists by: -4 -3 5 -7 |