Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ig |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-14789559306525696 = -1 · 210 · 313 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92185,-12290209] |
[a1,a2,a3,a4,a6] |
Generators |
[1010:30429:1] |
Generators of the group modulo torsion |
j |
-719152519936/122762871 |
j-invariant |
L |
9.177603905458 |
L(r)(E,1)/r! |
Ω |
0.13572846811849 |
Real period |
R |
2.6006686020234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488m1 25872bj1 14784bt1 |
Quadratic twists by: -4 8 -7 |