Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10320w |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
25643520 |
Modular degree for the optimal curve |
Δ |
-2.0329104602762E+31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -4 -3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1923679240,214483616660592] |
[a1,a2,a3,a4,a6] |
Generators |
[-15646:13437090:1] |
Generators of the group modulo torsion |
j |
192203697666261893287480365959/4963160303408775168000000000 |
j-invariant |
L |
4.16532342736 |
L(r)(E,1)/r! |
Ω |
0.016224881916275 |
Real period |
R |
7.131233936545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1290h1 41280dc1 30960bh1 51600dl1 |
Quadratic twists by: -4 8 -3 5 |