Atkin-Lehner |
2+ 3+ 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470o |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2.3648201859375E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 6 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37185487,90344817061] |
[a1,a2,a3,a4,a6] |
Generators |
[-1298:370009:1] |
Generators of the group modulo torsion |
j |
-5686488316522242818653390201/236482018593750000000000 |
j-invariant |
L |
4.3341098587022 |
L(r)(E,1)/r! |
Ω |
0.098210923087206 |
Real period |
R |
1.3790821715863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410y2 |
Quadratic twists by: -3 |