Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47124s |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-5.3560643346402E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12325575,16659268414] |
[a1,a2,a3,a4,a6] |
Generators |
[2015:2142:1] |
Generators of the group modulo torsion |
j |
-1109628964475955250000/286997617382553 |
j-invariant |
L |
6.2470093359779 |
L(r)(E,1)/r! |
Ω |
0.19450902520611 |
Real period |
R |
2.6764008034007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
15708i4 |
Quadratic twists by: -3 |