Atkin-Lehner |
3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
31605n |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
65 |
Product of Tamagawa factors cp |
deg |
711360 |
Modular degree for the optimal curve |
Δ |
7.034297992846E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 0 4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3470441,2454336140] |
[a1,a2,a3,a4,a6] |
Generators |
[892:8320:1] |
Generators of the group modulo torsion |
j |
1925243534815734267904/29297367733636125 |
j-invariant |
L |
5.3954583448598 |
L(r)(E,1)/r! |
Ω |
0.19526645916435 |
Real period |
R |
0.42509631103371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94815y1 31605j1 |
Quadratic twists by: -3 -7 |