Atkin-Lehner |
2+ 3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330c |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-195654914422306560 = -1 · 28 · 35 · 5 · 136 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-321103,73063333] |
[a1,a2,a3,a4,a6] |
Generators |
[366:1993:1] |
Generators of the group modulo torsion |
j |
-758575480593601/40535043840 |
j-invariant |
L |
2.8155384014161 |
L(r)(E,1)/r! |
Ω |
0.31424611488893 |
Real period |
R |
4.4798301071044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999587149 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570i1 |
Quadratic twists by: 13 |