Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42048bl |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12220653109248 = 220 · 37 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37740,-2816944] |
[a1,a2,a3,a4,a6] |
Generators |
[460:8784:1] |
Generators of the group modulo torsion |
j |
31107273625/63948 |
j-invariant |
L |
6.2452242204187 |
L(r)(E,1)/r! |
Ω |
0.34257267425929 |
Real period |
R |
4.5575907607939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048c2 10512m2 14016be2 |
Quadratic twists by: -4 8 -3 |