Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840i |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-2003546741760 = -1 · 210 · 311 · 5 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2517,-47702] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1296:1] |
Generators of the group modulo torsion |
j |
2362358876/2683935 |
j-invariant |
L |
5.1784342717026 |
L(r)(E,1)/r! |
Ω |
0.44652569267529 |
Real period |
R |
1.449646223232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16920d1 11280g1 |
Quadratic twists by: -4 -3 |