Atkin-Lehner |
3- 5+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
99975l |
Isogeny class |
Conductor |
99975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
-300237421875 = -1 · 3 · 57 · 313 · 43 |
Discriminant |
Eigenvalues |
2 3- 5+ 3 -5 -3 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3158,-74281] |
[a1,a2,a3,a4,a6] |
Generators |
[1215606:25395719:2744] |
Generators of the group modulo torsion |
j |
-222985990144/19215195 |
j-invariant |
L |
17.404614435018 |
L(r)(E,1)/r! |
Ω |
0.31686403158025 |
Real period |
R |
9.1546177038279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19995b1 |
Quadratic twists by: 5 |