Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5600a |
Isogeny class |
Conductor |
5600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1500625000000 = 26 · 510 · 74 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20425,-1122000] |
[a1,a2,a3,a4,a6] |
Generators |
[-401268:182094:4913] |
Generators of the group modulo torsion |
j |
942344950464/1500625 |
j-invariant |
L |
3.6844714953716 |
L(r)(E,1)/r! |
Ω |
0.39939311639667 |
Real period |
R |
9.2251752574328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5600d1 11200bt2 50400cv1 1120o1 |
Quadratic twists by: -4 8 -3 5 |