Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210i |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-4928040 = -1 · 23 · 36 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90,-324] |
[a1,a2,a3,a4,a6] |
j |
-658489/40 |
j-invariant |
L |
1.5437880031758 |
L(r)(E,1)/r! |
Ω |
0.77189400158792 |
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 |
121680di1 1690h1 76050eg1 15210bo1 |
Quadratic twists by: -4 -3 5 13 |