Atkin-Lehner |
2+ 3- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010bb |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1310720 |
Modular degree for the optimal curve |
Δ |
-2192433400995840000 = -1 · 216 · 314 · 54 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 6 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-326664,101270848] |
[a1,a2,a3,a4,a6] |
j |
-5288113387914035329/3007453224960000 |
j-invariant |
L |
1.9308270130331 |
L(r)(E,1)/r! |
Ω |
0.2413533767485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670n1 |
Quadratic twists by: -3 |