Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520h |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
561889280 = 214 · 5 · 193 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2001,33775] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:76:1] |
Generators of the group modulo torsion |
j |
7888624/5 |
j-invariant |
L |
3.5269950143528 |
L(r)(E,1)/r! |
Ω |
1.6212927698569 |
Real period |
R |
2.1754214322816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999285595 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115520bp2 7220f2 115520f2 |
Quadratic twists by: -4 8 -19 |