Atkin-Lehner |
2+ 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
105152a |
Isogeny class |
Conductor |
105152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-9376287752192 = -1 · 216 · 312 · 533 |
Discriminant |
Eigenvalues |
2+ 1 0 2 2 -1 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4927,64799] |
[a1,a2,a3,a4,a6] |
Generators |
[-1595:496:125] |
Generators of the group modulo torsion |
j |
201791709500/143070797 |
j-invariant |
L |
9.4363893792365 |
L(r)(E,1)/r! |
Ω |
0.46212309478734 |
Real period |
R |
5.1049111519117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105152q1 13144a1 |
Quadratic twists by: -4 8 |