Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600f |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-14668320996172800 = -1 · 210 · 35 · 52 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11- 0 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3832,5825052] |
[a1,a2,a3,a4,a6] |
j |
137180/323433 |
j-invariant |
L |
2.4782328562232 |
L(r)(E,1)/r! |
Ω |
0.30977910618813 |
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 |
72600el1 6600s1 |
Quadratic twists by: 5 -11 |