Atkin-Lehner |
2- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42400m |
Isogeny class |
Conductor |
42400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
424000 = 26 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 0 5- 4 4 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85,300] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:24:1] |
Generators of the group modulo torsion |
j |
8489664/53 |
j-invariant |
L |
7.281447753316 |
L(r)(E,1)/r! |
Ω |
2.9989105831673 |
Real period |
R |
2.4280309637041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42400d1 84800bi1 42400e1 |
Quadratic twists by: -4 8 5 |