Atkin-Lehner |
2- 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
98880bo |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-25313280 = -1 · 214 · 3 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -2 -6 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-945,11505] |
[a1,a2,a3,a4,a6] |
Generators |
[7:72:1] [17:-8:1] |
Generators of the group modulo torsion |
j |
-5702413264/1545 |
j-invariant |
L |
9.0848973593954 |
L(r)(E,1)/r! |
Ω |
2.0721132540746 |
Real period |
R |
1.0960908316812 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98880ba1 24720u1 |
Quadratic twists by: -4 8 |