Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312l |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-6599516443508736 = -1 · 217 · 315 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 11+ 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3477600,-2494976256] |
[a1,a2,a3,a4,a6] |
j |
-1135540872025530818401/1611210069216 |
j-invariant |
L |
1.7688849347926 |
L(r)(E,1)/r! |
Ω |
0.055277654212269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1914p1 61248ck1 45936bu1 |
Quadratic twists by: -4 8 -3 |