Atkin-Lehner |
2+ 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390u |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-2190811795200 = -1 · 28 · 36 · 52 · 73 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1276,69122] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:169:1] [-15:223:1] |
Generators of the group modulo torsion |
j |
670611173777/6387206400 |
j-invariant |
L |
8.1927201964508 |
L(r)(E,1)/r! |
Ω |
0.60363835268724 |
Real period |
R |
0.56550969632632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54390o1 |
Quadratic twists by: -7 |