Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12540k |
Isogeny class |
Conductor |
12540 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
1.6806973974372E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61484225,185543377500] |
[a1,a2,a3,a4,a6] |
Generators |
[4600:8550:1] |
Generators of the group modulo torsion |
j |
1606552218142211899487174656/1050435873398278125 |
j-invariant |
L |
5.9277662158381 |
L(r)(E,1)/r! |
Ω |
0.18146846705073 |
Real period |
R |
0.21777029409673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160bn1 37620g1 62700b1 |
Quadratic twists by: -4 -3 5 |