Atkin-Lehner |
2+ 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1518b |
Isogeny class |
Conductor |
1518 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18216 |
Modular degree for the optimal curve |
Δ |
-45491430503743488 = -1 · 223 · 311 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 11- 7 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11489,10255621] |
[a1,a2,a3,a4,a6] |
j |
167691610314591623/45491430503743488 |
j-invariant |
L |
0.83473586703805 |
L(r)(E,1)/r! |
Ω |
0.27824528901268 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12144bg1 48576z1 4554bb1 37950db1 |
Quadratic twists by: -4 8 -3 5 |