Atkin-Lehner |
5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515a |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
311181605 = 5 · 76 · 232 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ 3 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1211,15801] |
[a1,a2,a3,a4,a6] |
Generators |
[19:3:1] [39:171:1] |
Generators of the group modulo torsion |
j |
371585744896/588245 |
j-invariant |
L |
4.092812070536 |
L(r)(E,1)/r! |
Ω |
1.7202354894393 |
Real period |
R |
1.1896080785632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92575p2 129605w2 18515l2 |
Quadratic twists by: 5 -7 -23 |