Atkin-Lehner |
2- 3- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70950bv |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
-3227002221093750000 = -1 · 24 · 38 · 511 · 114 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-256713,-99902583] |
[a1,a2,a3,a4,a6] |
j |
-119742239904391369/206528142150000 |
j-invariant |
L |
3.2060092726881 |
L(r)(E,1)/r! |
Ω |
0.10018778978198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14190b1 |
Quadratic twists by: 5 |