Atkin-Lehner |
2- 3- 5- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24510u |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
27769211122500 = 22 · 32 · 54 · 192 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70275,-7171875] |
[a1,a2,a3,a4,a6] |
Generators |
[39330:152199:125] |
Generators of the group modulo torsion |
j |
38381916934612839601/27769211122500 |
j-invariant |
L |
9.9359579876323 |
L(r)(E,1)/r! |
Ω |
0.29323659654163 |
Real period |
R |
8.4709395969117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73530i4 122550i4 |
Quadratic twists by: -3 5 |