Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688dc |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-408077170146680832 = -1 · 213 · 32 · 76 · 196 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-327728,-78591276] |
[a1,a2,a3,a4,a6] |
Generators |
[18156:63602:27] |
Generators of the group modulo torsion |
j |
-8078253774625/846825858 |
j-invariant |
L |
7.7068191002387 |
L(r)(E,1)/r! |
Ω |
0.099180104971394 |
Real period |
R |
6.4754410695989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5586u4 912e4 |
Quadratic twists by: -4 -7 |