Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ba |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-3000338385580800 = -1 · 28 · 37 · 52 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 2 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15972,2518252] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:1355:1] |
Generators of the group modulo torsion |
j |
11264/75 |
j-invariant |
L |
5.9619527241506 |
L(r)(E,1)/r! |
Ω |
0.32717964842761 |
Real period |
R |
4.5555650824861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560l1 29040bl1 87120y1 |
Quadratic twists by: -4 -3 -11 |