Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950bw |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
61188223481437500 = 22 · 318 · 56 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-198513,31812531] |
[a1,a2,a3,a4,a6] |
Generators |
[191:858:1] |
Generators of the group modulo torsion |
j |
55369510069623625/3916046302812 |
j-invariant |
L |
7.2938256408255 |
L(r)(E,1)/r! |
Ω |
0.34355626790552 |
Real period |
R |
5.3075917412976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850br2 798e2 |
Quadratic twists by: -3 5 |