Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400k |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-711048375000000 = -1 · 26 · 39 · 59 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37125,-3037500] |
[a1,a2,a3,a4,a6] |
j |
-2299968/289 |
j-invariant |
L |
2.7323202110241 |
L(r)(E,1)/r! |
Ω |
0.1707700920538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400cn1 122400cq1 122400cr1 |
Quadratic twists by: -4 -3 5 |