Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920gg |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
21454366703616000 = 222 · 312 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75041,-3622305] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:1944:1] |
Generators of the group modulo torsion |
j |
178272935636041/81841914000 |
j-invariant |
L |
6.6282930121485 |
L(r)(E,1)/r! |
Ω |
0.30134454295085 |
Real period |
R |
1.8329774472179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920q1 18480cc1 |
Quadratic twists by: -4 8 |