Atkin-Lehner |
3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31605s |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.967356564708E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2283034,1310298707] |
[a1,a2,a3,a4,a6] |
Generators |
[9895:968486:1] |
Generators of the group modulo torsion |
j |
11185936158472314121/167222548828125 |
j-invariant |
L |
8.2998666664494 |
L(r)(E,1)/r! |
Ω |
0.21716644393337 |
Real period |
R |
3.1849098922009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94815bh2 4515d2 |
Quadratic twists by: -3 -7 |