Atkin-Lehner |
2- 3- 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
29670w |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
94597064787801600 = 29 · 33 · 52 · 236 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-128226,9651780] |
[a1,a2,a3,a4,a6] |
Generators |
[-384:1710:1] |
Generators of the group modulo torsion |
j |
233159012832692022049/94597064787801600 |
j-invariant |
L |
10.623333281179 |
L(r)(E,1)/r! |
Ω |
0.30659857527155 |
Real period |
R |
1.9249443079278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
89010u2 |
Quadratic twists by: -3 |