Atkin-Lehner |
3+ 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
121605d |
Isogeny class |
Conductor |
121605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76377600 |
Modular degree for the optimal curve |
Δ |
-7.3925442745084E+25 |
Discriminant |
Eigenvalues |
2 3+ 5+ -4 11- 6 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,17679754,412674382427] |
[a1,a2,a3,a4,a6] |
j |
344981836779052322816/41728985197282986075 |
j-invariant |
L |
0.37714271238834 |
L(r)(E,1)/r! |
Ω |
0.047142972557677 |
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 |
11055b1 |
Quadratic twists by: -11 |