Atkin-Lehner |
2+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42400d |
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] |
j |
8489664/53 |
j-invariant |
L |
1.5729254700845 |
L(r)(E,1)/r! |
Ω |
1.5729254702651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42400m1 84800bj1 42400n1 |
Quadratic twists by: -4 8 5 |