Atkin-Lehner |
2+ 3+ 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15834d |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71808 |
Modular degree for the optimal curve |
Δ |
-120176454408192 = -1 · 211 · 33 · 78 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 3 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68600,-6964416] |
[a1,a2,a3,a4,a6] |
j |
-35703102038814015625/120176454408192 |
j-invariant |
L |
1.1797504972501 |
L(r)(E,1)/r! |
Ω |
0.14746881215627 |
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 |
126672bw1 47502bo1 110838ba1 |
Quadratic twists by: -4 -3 -7 |