Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119064d |
Isogeny class |
Conductor |
119064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
686400 |
Modular degree for the optimal curve |
Δ |
-7595457185403648 = -1 · 28 · 35 · 116 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- -4 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44689,-5535275] |
[a1,a2,a3,a4,a6] |
j |
-21764027392/16747803 |
j-invariant |
L |
0.63558521709839 |
L(r)(E,1)/r! |
Ω |
0.1588962403994 |
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 |
984c1 |
Quadratic twists by: -11 |