Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200ex |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
56733696000 = 215 · 36 · 53 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3873,90783] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:360:1] [-27:420:1] |
Generators of the group modulo torsion |
j |
1568983528/13851 |
j-invariant |
L |
12.127048999069 |
L(r)(E,1)/r! |
Ω |
1.1208460228441 |
Real period |
R |
0.90162912297489 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200bw2 45600bk2 91200ch2 |
Quadratic twists by: -4 8 5 |