Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970cf |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
20632449600 = 26 · 36 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3197,70021] |
[a1,a2,a3,a4,a6] |
Generators |
[11:184:1] |
Generators of the group modulo torsion |
j |
4955605568649/28302400 |
j-invariant |
L |
7.5412925956282 |
L(r)(E,1)/r! |
Ω |
1.2199970033339 |
Real period |
R |
0.51511687972866 |
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 |
95760ew2 1330c2 59850bg2 83790er2 |
Quadratic twists by: -4 -3 5 -7 |