Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6936o |
Isogeny class |
Conductor |
6936 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-4618377216 = -1 · 211 · 33 · 174 |
Discriminant |
Eigenvalues |
2- 3- 1 4 3 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4720,123296] |
[a1,a2,a3,a4,a6] |
j |
-68001122/27 |
j-invariant |
L |
4.0534048453575 |
L(r)(E,1)/r! |
Ω |
1.3511349484525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13872f1 55488s1 20808r1 6936g1 |
Quadratic twists by: -4 8 -3 17 |