Atkin-Lehner |
2- 3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478cp |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-230725617262812 = -1 · 22 · 310 · 76 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,538,-730752] |
[a1,a2,a3,a4,a6] |
Generators |
[96:408:1] |
Generators of the group modulo torsion |
j |
146363183/1961135388 |
j-invariant |
L |
16.835695895333 |
L(r)(E,1)/r! |
Ω |
0.25763570121879 |
Real period |
R |
3.2673452893774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2622d1 |
Quadratic twists by: -7 |