Atkin-Lehner |
2- 3- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
107640bf |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
324863978400000000 = 211 · 310 · 58 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-361227,-78936154] |
[a1,a2,a3,a4,a6] |
Generators |
[3322:188100:1] |
Generators of the group modulo torsion |
j |
3491458179155858/217592578125 |
j-invariant |
L |
7.341320034851 |
L(r)(E,1)/r! |
Ω |
0.19549993030108 |
Real period |
R |
4.6939403171677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880a2 |
Quadratic twists by: -3 |