Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ee |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-6540021596160 = -1 · 217 · 310 · 5 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 3 13+ 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-712803,-231634078] |
[a1,a2,a3,a4,a6] |
Generators |
[340711:2181024:343] |
Generators of the group modulo torsion |
j |
-79370312059129/12960 |
j-invariant |
L |
5.1532045250421 |
L(r)(E,1)/r! |
Ω |
0.08215370894371 |
Real period |
R |
7.8407970905402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210p1 40560bx1 121680fk1 |
Quadratic twists by: -4 -3 13 |