Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15150bi |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
88354800 = 24 · 37 · 52 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-313,2057] |
[a1,a2,a3,a4,a6] |
Generators |
[8:5:1] |
Generators of the group modulo torsion |
j |
135676125625/3534192 |
j-invariant |
L |
8.992793953558 |
L(r)(E,1)/r! |
Ω |
1.9062744698432 |
Real period |
R |
0.16848109635204 |
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 |
121200bv1 45450x1 15150h1 |
Quadratic twists by: -4 -3 5 |