Atkin-Lehner |
3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15225o |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
287781687095765625 = 312 · 56 · 72 · 294 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-325851,66752473] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:9429:1] |
Generators of the group modulo torsion |
j |
244883173420511137/18418027974129 |
j-invariant |
L |
6.9721915502491 |
L(r)(E,1)/r! |
Ω |
0.30152964156714 |
Real period |
R |
0.96344750635633 |
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 |
45675k3 609b3 106575r3 |
Quadratic twists by: -3 5 -7 |