Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536bj |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
511236440064 = 216 · 32 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3809,82431] |
[a1,a2,a3,a4,a6] |
Generators |
[171:2112:1] |
Generators of the group modulo torsion |
j |
93280467172/7800849 |
j-invariant |
L |
6.2577799389972 |
L(r)(E,1)/r! |
Ω |
0.906530043916 |
Real period |
R |
3.4515016799471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25536ch2 3192j2 76608bv2 |
Quadratic twists by: -4 8 -3 |