Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680fi |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-11417619755692800 = -1 · 28 · 37 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 6 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,52728,2170636] |
[a1,a2,a3,a4,a6] |
j |
106496/75 |
j-invariant |
L |
2.0430655086456 |
L(r)(E,1)/r! |
Ω |
0.25538322257944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30420u1 40560ck1 121680dw1 |
Quadratic twists by: -4 -3 13 |