Atkin-Lehner |
2- 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
13350l |
Isogeny class |
Conductor |
13350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
4729824900000000 = 28 · 312 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24633838,47049119531] |
[a1,a2,a3,a4,a6] |
j |
105803474625631920221209/302708793600 |
j-invariant |
L |
4.5867904547667 |
L(r)(E,1)/r! |
Ω |
0.28667440342292 |
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 |
106800bw1 40050q1 2670b1 |
Quadratic twists by: -4 -3 5 |