Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138a |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.0165325099646E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-248007273,-1503234805555] |
[a1,a2,a3,a4,a6] |
Generators |
[79099856834873109758300359234037:-44401290409143664285270648557637404:250843867251634961851775437] |
Generators of the group modulo torsion |
j |
144091275020705979/1722368 |
j-invariant |
L |
3.6646379259316 |
L(r)(E,1)/r! |
Ω |
0.038043761524006 |
Real period |
R |
48.163454126628 |
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 |
121104bg2 15138q2 522g2 |
Quadratic twists by: -4 -3 29 |