Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768bh |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5613058260992 = -1 · 219 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49119233,132486557279] |
[a1,a2,a3,a4,a6] |
Generators |
[109254:1225:27] |
Generators of the group modulo torsion |
j |
-424962187484640625/182 |
j-invariant |
L |
7.0178448815926 |
L(r)(E,1)/r! |
Ω |
0.32117942299352 |
Real period |
R |
2.7312789904872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768do3 1274i3 5824i3 |
Quadratic twists by: -4 8 -7 |