Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12936bb |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-1879443096887664 = -1 · 24 · 37 · 79 · 113 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- 1 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8166944,8980611093] |
[a1,a2,a3,a4,a6] |
Generators |
[1486:11319:1] |
Generators of the group modulo torsion |
j |
-93303976999933696/2910897 |
j-invariant |
L |
6.8154828332328 |
L(r)(E,1)/r! |
Ω |
0.34383702098169 |
Real period |
R |
0.23597430016109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25872h1 103488bi1 38808y1 12936v1 |
Quadratic twists by: -4 8 -3 -7 |