Atkin-Lehner |
2- 5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410be |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
569476767535156250 = 2 · 59 · 78 · 113 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-530671,-144340785] |
[a1,a2,a3,a4,a6] |
Generators |
[-25740:142035:64] |
Generators of the group modulo torsion |
j |
2866919563966129/98785156250 |
j-invariant |
L |
4.6403437654203 |
L(r)(E,1)/r! |
Ω |
0.17726023871962 |
Real period |
R |
8.726047473414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999801135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102410cf2 |
Quadratic twists by: -7 |