Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920bl |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-112197550080 = -1 · 214 · 3 · 5 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -6 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1765,-32195] |
[a1,a2,a3,a4,a6] |
Generators |
[372:7117:1] |
Generators of the group modulo torsion |
j |
-37135043584/6847995 |
j-invariant |
L |
4.7956545058988 |
L(r)(E,1)/r! |
Ω |
0.36461693940227 |
Real period |
R |
4.3841942860072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978567 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73920if1 9240m1 |
Quadratic twists by: -4 8 |