Atkin-Lehner |
2- 7+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
47138j |
Isogeny class |
Conductor |
47138 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-4275110768656 = -1 · 24 · 74 · 133 · 373 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3478,-60236] |
[a1,a2,a3,a4,a6] |
Generators |
[18:82:1] [148:-1998:1] |
Generators of the group modulo torsion |
j |
1937815747007/1780554256 |
j-invariant |
L |
8.400048310757 |
L(r)(E,1)/r! |
Ω |
0.42626103769611 |
Real period |
R |
0.18246618438314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47138n2 |
Quadratic twists by: -7 |