Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200ej |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
886464000000000 = 215 · 36 · 59 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96833,-11541537] |
[a1,a2,a3,a4,a6] |
Generators |
[409:4176:1] |
Generators of the group modulo torsion |
j |
1568983528/13851 |
j-invariant |
L |
6.8561843430511 |
L(r)(E,1)/r! |
Ω |
0.27078504036113 |
Real period |
R |
4.2199428311477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ch2 45600bm2 91200bw2 |
Quadratic twists by: -4 8 5 |