Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
19800b |
Isogeny class |
Conductor |
19800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
86605200000000 = 210 · 39 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60075,5649750] |
[a1,a2,a3,a4,a6] |
j |
76136652/275 |
j-invariant |
L |
1.2163884146112 |
L(r)(E,1)/r! |
Ω |
0.60819420730559 |
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 |
39600b1 19800y1 3960m1 |
Quadratic twists by: -4 -3 5 |