Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29325q |
Isogeny class |
Conductor |
29325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
537472265625 = 32 · 58 · 172 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3188,59367] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:264:1] |
Generators of the group modulo torsion |
j |
229333309561/34398225 |
j-invariant |
L |
4.3980314134442 |
L(r)(E,1)/r! |
Ω |
0.88663399368189 |
Real period |
R |
2.480184295202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87975t2 5865b2 |
Quadratic twists by: -3 5 |