Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24600c |
Isogeny class |
Conductor |
24600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-307500000000 = -1 · 28 · 3 · 510 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 3 4 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2033,-43563] |
[a1,a2,a3,a4,a6] |
Generators |
[57:150:1] |
Generators of the group modulo torsion |
j |
-232428544/76875 |
j-invariant |
L |
5.4708003727537 |
L(r)(E,1)/r! |
Ω |
0.34961222077449 |
Real period |
R |
1.9560244349562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49200y1 73800co1 4920h1 |
Quadratic twists by: -4 -3 5 |