Atkin-Lehner |
5- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15295c |
Isogeny class |
Conductor |
15295 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-307811875 = -1 · 54 · 72 · 19 · 232 |
Discriminant |
Eigenvalues |
1 2 5- 7+ -4 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,18,851] |
[a1,a2,a3,a4,a6] |
Generators |
[2:29:1] |
Generators of the group modulo torsion |
j |
590589719/307811875 |
j-invariant |
L |
8.1543332267733 |
L(r)(E,1)/r! |
Ω |
1.3408977450061 |
Real period |
R |
1.5203122790575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76475k2 107065e2 |
Quadratic twists by: 5 -7 |