Atkin-Lehner |
3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73515h |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-19203245416850625 = -1 · 32 · 54 · 136 · 294 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-65914,-9326263] |
[a1,a2,a3,a4,a6] |
Generators |
[1249:42470:1] |
Generators of the group modulo torsion |
j |
-6561258219361/3978455625 |
j-invariant |
L |
9.593250005507 |
L(r)(E,1)/r! |
Ω |
0.14496903354306 |
Real period |
R |
4.135904825331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998308 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
435d4 |
Quadratic twists by: 13 |