Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138b |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-571088308486059054 = -1 · 2 · 39 · 299 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 0 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46833,36579203] |
[a1,a2,a3,a4,a6] |
Generators |
[30155:768314:125] |
Generators of the group modulo torsion |
j |
-970299/48778 |
j-invariant |
L |
4.369070775113 |
L(r)(E,1)/r! |
Ω |
0.24117916847043 |
Real period |
R |
4.528864166443 |
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 |
121104bh2 15138s1 522h2 |
Quadratic twists by: -4 -3 29 |