Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25800c |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-2064000000 = -1 · 210 · 3 · 56 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 3 -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2808,-56388] |
[a1,a2,a3,a4,a6] |
Generators |
[8666:806668:1] |
Generators of the group modulo torsion |
j |
-153091012/129 |
j-invariant |
L |
5.2666104096205 |
L(r)(E,1)/r! |
Ω |
0.32789549499991 |
Real period |
R |
8.0309282834488 |
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 |
51600bb1 77400bi1 1032c1 |
Quadratic twists by: -4 -3 5 |