Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768bh |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-185926941837099008 = -1 · 221 · 79 · 133 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-605313,182248415] |
[a1,a2,a3,a4,a6] |
Generators |
[562:4459:1] |
Generators of the group modulo torsion |
j |
-795309684625/6028568 |
j-invariant |
L |
7.0178448815926 |
L(r)(E,1)/r! |
Ω |
0.32117942299352 |
Real period |
R |
0.91042633016242 |
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 |
40768do2 1274i2 5824i2 |
Quadratic twists by: -4 8 -7 |