Atkin-Lehner |
3- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104181s |
Isogeny class |
Conductor |
104181 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-3142116024632041149 = -1 · 37 · 7 · 116 · 415 |
Discriminant |
Eigenvalues |
1 3- 3 7- 11- 7 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,355858,-24408727] |
[a1,a2,a3,a4,a6] |
j |
2813193182704463/1773642581109 |
j-invariant |
L |
8.1262735589959 |
L(r)(E,1)/r! |
Ω |
0.14511202035326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
861c1 |
Quadratic twists by: -11 |