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 |
Δ |
-179776000 = -1 · 29 · 53 · 532 |
Discriminant |
Eigenvalues |
2- 0 5- 4 4 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35,650] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:728:27] |
Generators of the group modulo torsion |
j |
-74088/2809 |
j-invariant |
L |
7.281447753316 |
L(r)(E,1)/r! |
Ω |
1.4994552915836 |
Real period |
R |
4.8560619274082 |
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 |
42400d2 84800bi2 42400e2 |
Quadratic twists by: -4 8 5 |