Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
24700d |
Isogeny class |
Conductor |
24700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-10435750000 = -1 · 24 · 56 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47958,-4026463] |
[a1,a2,a3,a4,a6] |
Generators |
[20289:528875:27] |
Generators of the group modulo torsion |
j |
-48795070432000/41743 |
j-invariant |
L |
7.1280814863065 |
L(r)(E,1)/r! |
Ω |
0.16130711217475 |
Real period |
R |
7.3649175478641 |
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 |
98800bm2 988d2 |
Quadratic twists by: -4 5 |