Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5390g |
Isogeny class |
Conductor |
5390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
77271040000000 = 218 · 57 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-126520,-17284800] |
[a1,a2,a3,a4,a6] |
Generators |
[-1021479:596592:4913] |
Generators of the group modulo torsion |
j |
652993822364173263/225280000000 |
j-invariant |
L |
2.4703045821608 |
L(r)(E,1)/r! |
Ω |
0.25314455460397 |
Real period |
R |
9.7584741098834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43120bd1 48510dx1 26950co1 5390r1 |
Quadratic twists by: -4 -3 5 -7 |