Atkin-Lehner |
2+ 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120b |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
42819840 = 28 · 34 · 5 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55756,-5048864] |
[a1,a2,a3,a4,a6] |
j |
74880091125217744/167265 |
j-invariant |
L |
1.2427567857245 |
L(r)(E,1)/r! |
Ω |
0.31068909016115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49560j1 |
Quadratic twists by: -4 |