Atkin-Lehner |
3- 5+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67425i |
Isogeny class |
Conductor |
67425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
210703125 = 3 · 57 · 29 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1798001,-928117477] |
[a1,a2,a3,a4,a6] |
Generators |
[4359956864384:21978685485177:2791309312] |
Generators of the group modulo torsion |
j |
41140837251274049281/13485 |
j-invariant |
L |
5.3837247472686 |
L(r)(E,1)/r! |
Ω |
0.13037733555628 |
Real period |
R |
20.646704905112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000001321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13485e3 |
Quadratic twists by: 5 |