Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050ek |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-274901856328125000 = -1 · 23 · 36 · 510 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4772930,4014794697] |
[a1,a2,a3,a4,a6] |
Generators |
[164595:346393:125] |
Generators of the group modulo torsion |
j |
-349938025/8 |
j-invariant |
L |
10.294884420534 |
L(r)(E,1)/r! |
Ω |
0.28601151684899 |
Real period |
R |
5.9991083196592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450d4 76050cr2 450d4 |
Quadratic twists by: -3 5 13 |