Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240j |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3569184000000 = 211 · 38 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5403,-122902] |
[a1,a2,a3,a4,a6] |
j |
11683450802/2390625 |
j-invariant |
L |
2.2594335994216 |
L(r)(E,1)/r! |
Ω |
0.56485839985541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6120s2 48960fi2 4080i2 61200bv2 |
Quadratic twists by: -4 8 -3 5 |