Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840l |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-1432379641275000000 = -1 · 26 · 316 · 58 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-439653,126117848] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:13750:1] |
Generators of the group modulo torsion |
j |
-201440287521417664/30700866796875 |
j-invariant |
L |
4.7720406275646 |
L(r)(E,1)/r! |
Ω |
0.26022003035995 |
Real period |
R |
1.5282069245283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15840d1 31680dj2 5280k1 79200eb1 |
Quadratic twists by: -4 8 -3 5 |