Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600dk |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
2.0923115718574E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144957675,634680724250] |
[a1,a2,a3,a4,a6] |
Generators |
[-605596145:-131243623650:117649] |
Generators of the group modulo torsion |
j |
7220044159551112609/448454983680000 |
j-invariant |
L |
6.7800829543805 |
L(r)(E,1)/r! |
Ω |
0.067004021469276 |
Real period |
R |
12.648649300643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4950bm1 13200bt1 7920bi1 |
Quadratic twists by: -4 -3 5 |