Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9920v |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1525299200000 = -1 · 214 · 55 · 313 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 -2 2 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-153808,23217632] |
[a1,a2,a3,a4,a6] |
Generators |
[6123:341:27] |
Generators of the group modulo torsion |
j |
-24560689104608256/93096875 |
j-invariant |
L |
6.7202369353465 |
L(r)(E,1)/r! |
Ω |
0.74399501880145 |
Real period |
R |
3.0108790003158 |
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 |
9920e1 2480g1 89280fv1 49600cm1 |
Quadratic twists by: -4 8 -3 5 |