Atkin-Lehner |
3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15225n |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-28975078125 = -1 · 32 · 57 · 72 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,349,7823] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:67:1] |
Generators of the group modulo torsion |
j |
302111711/1854405 |
j-invariant |
L |
6.5135445430024 |
L(r)(E,1)/r! |
Ω |
0.85423059997263 |
Real period |
R |
1.9062605996587 |
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 |
45675i2 3045c2 106575n2 |
Quadratic twists by: -3 5 -7 |