Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162t |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
13793756711969808 = 24 · 39 · 72 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2815988,-1820003803] |
[a1,a2,a3,a4,a6] |
j |
52492168638015625/293197968 |
j-invariant |
L |
4.1956040913677 |
L(r)(E,1)/r! |
Ω |
0.11654455809355 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296cn1 45486q1 106134cq1 798e1 |
Quadratic twists by: -4 -3 -7 -19 |