Atkin-Lehner |
2+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124184a |
Isogeny class |
Conductor |
124184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
860320 |
Modular degree for the optimal curve |
Δ |
-9546392851093936 = -1 · 24 · 199 · 432 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 4 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96026,-12380495] |
[a1,a2,a3,a4,a6] |
Generators |
[35543168270427780:33636562097468379175:39686715531] |
Generators of the group modulo torsion |
j |
-18966528/1849 |
j-invariant |
L |
6.7999922702889 |
L(r)(E,1)/r! |
Ω |
0.13485768473933 |
Real period |
R |
25.211733923688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000205682 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124184f1 |
Quadratic twists by: -19 |