Atkin-Lehner |
3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045bl |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
Δ |
1.0937003067292E+25 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-506871887,-4389324999964] |
[a1,a2,a3,a4,a6] |
Generators |
[-12894:-43166:1] |
Generators of the group modulo torsion |
j |
19755626005315513192334488489/15002747691757998046875 |
j-invariant |
L |
3.926157205766 |
L(r)(E,1)/r! |
Ω |
0.031819606295516 |
Real period |
R |
0.88134277277537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015o2 |
Quadratic twists by: -3 |