Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328ce |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1146880 |
Modular degree for the optimal curve |
Δ |
-5296068368910176256 = -1 · 212 · 313 · 7 · 415 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 -7 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,423501,31727666] |
[a1,a2,a3,a4,a6] |
j |
2813193182704463/1773642581109 |
j-invariant |
L |
0.60022760831117 |
L(r)(E,1)/r! |
Ω |
0.15005690206642 |
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 |
2583c1 13776k1 |
Quadratic twists by: -4 -3 |