Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15288z |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-273393340286976 = -1 · 211 · 311 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 13- -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31712,-2304084] |
[a1,a2,a3,a4,a6] |
j |
-5020930768142/389191959 |
j-invariant |
L |
1.0685289863525 |
L(r)(E,1)/r! |
Ω |
0.17808816439208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30576bf1 122304dq1 45864v1 15288bf1 |
Quadratic twists by: -4 8 -3 -7 |