Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29600k |
Isogeny class |
Conductor |
29600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
87616000 = 29 · 53 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115,150] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] |
Generators of the group modulo torsion |
j |
2628072/1369 |
j-invariant |
L |
5.6269167324651 |
L(r)(E,1)/r! |
Ω |
1.6823903006154 |
Real period |
R |
1.6722982563579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29600l2 59200dj2 29600bd2 |
Quadratic twists by: -4 8 5 |