Atkin-Lehner |
3- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725cb |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
18066888172265625 = 32 · 58 · 76 · 112 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-560188,161203367] |
[a1,a2,a3,a4,a6] |
Generators |
[15069:-135547:27] |
Generators of the group modulo torsion |
j |
1244242807026783481/1156280843025 |
j-invariant |
L |
5.4545150069713 |
L(r)(E,1)/r! |
Ω |
0.38574869057283 |
Real period |
R |
1.1783394887298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053237 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21945k2 |
Quadratic twists by: 5 |