Atkin-Lehner |
3- 5- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205bf |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
3624960 |
Modular degree for the optimal curve |
Δ |
-1.3513727847437E+20 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1630382,977577356] |
[a1,a2,a3,a4,a6] |
Generators |
[-12042:41297:8] [-954:41269:1] |
Generators of the group modulo torsion |
j |
-657451998475484928409/185373495849609375 |
j-invariant |
L |
8.4748486836949 |
L(r)(E,1)/r! |
Ω |
0.17507201987178 |
Real period |
R |
0.40339820752068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735k1 |
Quadratic twists by: -3 |