Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47824h |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.4140211551459E+22 |
Discriminant |
Eigenvalues |
2- 1 0 7- 3 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44041608,-112366607116] |
[a1,a2,a3,a4,a6] |
Generators |
[-116355785460:-12227016158:29503629] |
Generators of the group modulo torsion |
j |
19604918227371765625/29343216566272 |
j-invariant |
L |
7.3750331983765 |
L(r)(E,1)/r! |
Ω |
0.058610145606947 |
Real period |
R |
15.729002892765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978b3 6832e3 |
Quadratic twists by: -4 -7 |