Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24276a |
Isogeny class |
Conductor |
24276 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-510944060592 = -1 · 24 · 33 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1927,-11742] |
[a1,a2,a3,a4,a6] |
j |
2048000/1323 |
j-invariant |
L |
1.5936897872977 |
L(r)(E,1)/r! |
Ω |
0.53122992909925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97104co1 72828l1 84a1 |
Quadratic twists by: -4 -3 17 |