Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200cd |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7547904 |
Modular degree for the optimal curve |
Δ |
-3.451359375E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -2 3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6198992,-6680535488] |
[a1,a2,a3,a4,a6] |
Generators |
[163324448:7978125000:117649] |
Generators of the group modulo torsion |
j |
411629883108940439/539274902343750 |
j-invariant |
L |
7.4350889632946 |
L(r)(E,1)/r! |
Ω |
0.062043820496757 |
Real period |
R |
7.4897557511797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999745028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150bp1 24240bp1 |
Quadratic twists by: -4 5 |