Atkin-Lehner |
3+ 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
121605b |
Isogeny class |
Conductor |
121605 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
158976 |
Modular degree for the optimal curve |
Δ |
-1241511046875 = -1 · 34 · 56 · 114 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 0 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,784,-52612] |
[a1,a2,a3,a4,a6] |
Generators |
[336:-6356:1] [366:2099:8] |
Generators of the group modulo torsion |
j |
3639707951/84796875 |
j-invariant |
L |
5.9042040300229 |
L(r)(E,1)/r! |
Ω |
0.41804341538675 |
Real period |
R |
1.1769519251151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121605a1 |
Quadratic twists by: -11 |