Atkin-Lehner |
3+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115311a |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3682341910682757 = 34 · 73 · 178 · 19 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2902967291,60200846988156] |
[a1,a2,a3,a4,a6] |
Generators |
[28817928626114175509060658:1234159140257577222086648481:798405486063123916216] |
Generators of the group modulo torsion |
j |
112087352564301818387886553/152556453 |
j-invariant |
L |
5.529217363915 |
L(r)(E,1)/r! |
Ω |
0.13466515415902 |
Real period |
R |
41.059006188809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999382965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6783e3 |
Quadratic twists by: 17 |