Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380bb |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-12747296041200 = -1 · 24 · 38 · 52 · 75 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14546,691929] |
[a1,a2,a3,a4,a6] |
Generators |
[364:6615:1] [-126:735:1] |
Generators of the group modulo torsion |
j |
-73615029880576/2756768175 |
j-invariant |
L |
13.334761357999 |
L(r)(E,1)/r! |
Ω |
0.7055353194466 |
Real period |
R |
0.078750849380585 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121380q1 |
Quadratic twists by: 17 |