Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640ec |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.2942969040239E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-305108218440,-64867872366268812] |
[a1,a2,a3,a4,a6] |
Generators |
[1983948:2671841142:1] |
Generators of the group modulo torsion |
j |
16300610738133468173382620881/2228489100 |
j-invariant |
L |
8.7134060086305 |
L(r)(E,1)/r! |
Ω |
0.006423712245195 |
Real period |
R |
6.7822200571631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
25.000000007085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830g4 4560s4 |
Quadratic twists by: -4 -19 |