Atkin-Lehner |
3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15225a |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1882221075 = -1 · 32 · 52 · 73 · 293 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 0 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-413,-3712] |
[a1,a2,a3,a4,a6] |
Generators |
[26:49:1] |
Generators of the group modulo torsion |
j |
-312381276160/75288843 |
j-invariant |
L |
3.2254872052961 |
L(r)(E,1)/r! |
Ω |
0.52275563751602 |
Real period |
R |
3.0850812251616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45675o2 15225y2 106575by2 |
Quadratic twists by: -3 5 -7 |