Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970cg |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-28055871407812500 = -1 · 22 · 39 · 58 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6017,-8059291] |
[a1,a2,a3,a4,a6] |
Generators |
[367:6066:1] |
Generators of the group modulo torsion |
j |
-33042169120969/38485420312500 |
j-invariant |
L |
7.1919732308042 |
L(r)(E,1)/r! |
Ω |
0.16888967330104 |
Real period |
R |
2.6614908901152 |
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 |
95760ex3 3990m4 59850bh3 83790es3 |
Quadratic twists by: -4 -3 5 -7 |