Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275ew |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
978048 |
Modular degree for the optimal curve |
Δ |
-52326246266476875 = -1 · 39 · 54 · 74 · 116 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-499800,136445706] |
[a1,a2,a3,a4,a6] |
Generators |
[1316:41926:1] |
Generators of the group modulo torsion |
j |
-12621552025600/47832147 |
j-invariant |
L |
4.8499934165307 |
L(r)(E,1)/r! |
Ω |
0.3567356601062 |
Real period |
R |
1.132956864325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425cw1 121275ck1 121275fj1 |
Quadratic twists by: -3 5 -7 |