Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536bz |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5086834530914304 = 212 · 34 · 76 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165529,25748569] |
[a1,a2,a3,a4,a6] |
Generators |
[-431:4104:1] |
Generators of the group modulo torsion |
j |
122458422894369472/1241902961649 |
j-invariant |
L |
3.7662585334318 |
L(r)(E,1)/r! |
Ω |
0.43314730173387 |
Real period |
R |
2.1737746710851 |
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 |
25536dg2 12768v1 76608eg2 |
Quadratic twists by: -4 8 -3 |