Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
9270p |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-39596660156250 = -1 · 2 · 39 · 510 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -1 -4 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17768,964981] |
[a1,a2,a3,a4,a6] |
Generators |
[-6380:87533:64] |
Generators of the group modulo torsion |
j |
-31515568179003/2011718750 |
j-invariant |
L |
6.1039743486616 |
L(r)(E,1)/r! |
Ω |
0.63636154481514 |
Real period |
R |
2.3979978042336 |
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 |
74160t1 9270d1 46350a1 |
Quadratic twists by: -4 -3 5 |