Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950r |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-126005317200 = -1 · 24 · 38 · 52 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-801,19108] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-126:1] |
Generators of the group modulo torsion |
j |
-2269350720625/5040212688 |
j-invariant |
L |
4.4790132161347 |
L(r)(E,1)/r! |
Ω |
0.92628278420039 |
Real period |
R |
0.10073897186451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850er1 19950cn1 |
Quadratic twists by: -3 5 |