Atkin-Lehner |
3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305t |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.3217189639304E+26 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-48323878,-744418453747] |
[a1,a2,a3,a4,a6] |
Generators |
[397767096149282502846072721259928:-18176636058982029425375478123638747:34110815234477408845213758976] |
Generators of the group modulo torsion |
j |
-20980751961338245441/390320769539963745 |
j-invariant |
L |
8.1575864628802 |
L(r)(E,1)/r! |
Ω |
0.024016119800072 |
Real period |
R |
42.458911524457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3045e8 |
Quadratic twists by: 29 |