Atkin-Lehner |
2+ 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
109800d |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
761856 |
Modular degree for the optimal curve |
Δ |
-8720886028896000 = -1 · 28 · 39 · 53 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-669735,211009050] |
[a1,a2,a3,a4,a6] |
j |
-52746230454192/13845841 |
j-invariant |
L |
1.6099108638181 |
L(r)(E,1)/r! |
Ω |
0.40247770982011 |
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 |
109800bg1 109800bh1 |
Quadratic twists by: -3 5 |