Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960bd |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
2.8962666516551E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-829578,132426713] |
[a1,a2,a3,a4,a6] |
Generators |
[54409996:5706794495:4913] |
Generators of the group modulo torsion |
j |
115060504576/52780005 |
j-invariant |
L |
8.8064828395 |
L(r)(E,1)/r! |
Ω |
0.1878971684925 |
Real period |
R |
11.717157448014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320z1 6840t1 |
Quadratic twists by: -3 -19 |