Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970ba |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-4275984138916140000 = -1 · 25 · 314 · 54 · 73 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,389781,-33637275] |
[a1,a2,a3,a4,a6] |
Generators |
[441:14742:1] |
Generators of the group modulo torsion |
j |
8983747840943130191/5865547515660000 |
j-invariant |
L |
3.8829162795657 |
L(r)(E,1)/r! |
Ω |
0.14045234441554 |
Real period |
R |
0.57595399702468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760eq3 3990y4 59850eu3 83790be3 |
Quadratic twists by: -4 -3 5 -7 |