Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200cf |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-8.70636847104E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-284208,1420926912] |
[a1,a2,a3,a4,a6] |
Generators |
[-338286872:-15972909056:456533] |
Generators of the group modulo torsion |
j |
-317354125661/108829605888 |
j-invariant |
L |
5.6699141461442 |
L(r)(E,1)/r! |
Ω |
0.12836772575784 |
Real period |
R |
11.042328031968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4650bx1 111600fy1 37200dp1 |
Quadratic twists by: -4 -3 5 |