Atkin-Lehner |
2+ 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488r |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-242001011013823152 = -1 · 24 · 311 · 72 · 136 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-875874,-316394647] |
[a1,a2,a3,a4,a6] |
Generators |
[1556:45695:1] |
Generators of the group modulo torsion |
j |
-6370904647984617472/20747686129443 |
j-invariant |
L |
7.276307777385 |
L(r)(E,1)/r! |
Ω |
0.078014344635854 |
Real period |
R |
5.8293027879799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496u1 |
Quadratic twists by: -3 |