Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600d |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
591300000000 = 28 · 34 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14908,-694688] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:16:1] |
Generators of the group modulo torsion |
j |
91611713104/147825 |
j-invariant |
L |
2.3484761962069 |
L(r)(E,1)/r! |
Ω |
0.43210010397328 |
Real period |
R |
2.7175140338195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43800l1 17520f1 |
Quadratic twists by: -4 5 |