Atkin-Lehner |
2+ 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111910i |
Isogeny class |
Conductor |
111910 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16510186445460380 = 22 · 5 · 197 · 314 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-738854,-244184952] |
[a1,a2,a3,a4,a6] |
Generators |
[-3071353980494127:2175790267327686:6109418082041] |
Generators of the group modulo torsion |
j |
948152781811521/350937980 |
j-invariant |
L |
5.9407675068412 |
L(r)(E,1)/r! |
Ω |
0.16284315831296 |
Real period |
R |
18.240764854584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999813358 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5890h3 |
Quadratic twists by: -19 |