Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200cm |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2451456 |
Modular degree for the optimal curve |
Δ |
-4025041875000000000 = -1 · 29 · 34 · 513 · 433 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -4 1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1731408,-882768312] |
[a1,a2,a3,a4,a6] |
Generators |
[3318:172950:1] |
Generators of the group modulo torsion |
j |
-71751706663500872/503130234375 |
j-invariant |
L |
5.4591863057805 |
L(r)(E,1)/r! |
Ω |
0.065779076173818 |
Real period |
R |
5.1870467569519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200bx1 20640b1 |
Quadratic twists by: -4 5 |