Atkin-Lehner |
2+ 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19344a |
Isogeny class |
Conductor |
19344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1496761344 = 210 · 32 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-424,2944] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:78:1] |
Generators of the group modulo torsion |
j |
8251733668/1461681 |
j-invariant |
L |
3.8587903317483 |
L(r)(E,1)/r! |
Ω |
1.4384053383165 |
Real period |
R |
1.3413431627918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9672i2 77376bn2 58032d2 |
Quadratic twists by: -4 8 -3 |