Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
109800cb |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
22234500000000 = 28 · 36 · 59 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21375,1181250] |
[a1,a2,a3,a4,a6] |
j |
2963088/61 |
j-invariant |
L |
2.7119275260292 |
L(r)(E,1)/r! |
Ω |
0.67798175686797 |
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 |
12200c1 109800x1 |
Quadratic twists by: -3 5 |