Atkin-Lehner |
2- 3+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
54384l |
Isogeny class |
Conductor |
54384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-7235296684161368064 = -1 · 244 · 3 · 113 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-212432,134861760] |
[a1,a2,a3,a4,a6] |
Generators |
[1726714605423572146436405480:-137271913158300777544589246464:271873058293435826373875] |
Generators of the group modulo torsion |
j |
-258836561772597073/1766429854531584 |
j-invariant |
L |
7.6675318663457 |
L(r)(E,1)/r! |
Ω |
0.2026253004832 |
Real period |
R |
37.840940140024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6798n1 |
Quadratic twists by: -4 |