Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600dn |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-1642291200 = -1 · 213 · 36 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,285,610] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:18:1] |
Generators of the group modulo torsion |
j |
34295/22 |
j-invariant |
L |
4.034826563795 |
L(r)(E,1)/r! |
Ω |
0.93383892260933 |
Real period |
R |
1.0801719831188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4950p1 4400u1 39600er1 |
Quadratic twists by: -4 -3 5 |