Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138a |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1108800 |
Modular degree for the optimal curve |
Δ |
-1.4240891656577E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15487593,-23526065971] |
[a1,a2,a3,a4,a6] |
Generators |
[6611095810617915166:116744969763084660849:1407903025469039] |
Generators of the group modulo torsion |
j |
-35091039199419/121634816 |
j-invariant |
L |
3.6646379259316 |
L(r)(E,1)/r! |
Ω |
0.038043761524006 |
Real period |
R |
24.081727063314 |
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 |
121104bg1 15138q1 522g1 |
Quadratic twists by: -4 -3 29 |