Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1518s |
Isogeny class |
Conductor |
1518 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2003024259937536 = 28 · 3 · 118 · 233 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49836337,135411006185] |
[a1,a2,a3,a4,a6] |
j |
13688695234222145601259673233/2003024259937536 |
j-invariant |
L |
4.276157902252 |
L(r)(E,1)/r! |
Ω |
0.26725986889075 |
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 |
12144v3 48576g4 4554k3 37950j4 |
Quadratic twists by: -4 8 -3 5 |