Atkin-Lehner |
2+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960n |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
17825024000000 = 214 · 56 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8785,246225] |
[a1,a2,a3,a4,a6] |
Generators |
[75:60:1] |
Generators of the group modulo torsion |
j |
4576974631504/1087953125 |
j-invariant |
L |
9.5374885484412 |
L(r)(E,1)/r! |
Ω |
0.64926334919673 |
Real period |
R |
2.4482845468884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960bz2 8120b2 |
Quadratic twists by: -4 8 |