Atkin-Lehner |
3- 5+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675bd |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
262743837890625 = 32 · 510 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17338,-406333] |
[a1,a2,a3,a4,a6] |
Generators |
[233:2750:1] |
Generators of the group modulo torsion |
j |
36889455716569/16815605625 |
j-invariant |
L |
5.0356413409399 |
L(r)(E,1)/r! |
Ω |
0.43440104263238 |
Real period |
R |
2.8980370789527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052034 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25935a2 |
Quadratic twists by: 5 |