Atkin-Lehner |
2+ 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050d |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-976374000000 = -1 · 27 · 35 · 56 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 5 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-800,48000] |
[a1,a2,a3,a4,a6] |
j |
-3630961153/62487936 |
j-invariant |
L |
1.4843374457506 |
L(r)(E,1)/r! |
Ω |
0.74216872284379 |
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 |
129150dj1 1722n1 |
Quadratic twists by: -3 5 |