Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
76050bz |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-7507560937500 = -1 · 22 · 37 · 58 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9567,-381159] |
[a1,a2,a3,a4,a6] |
Generators |
[204:2373:1] |
Generators of the group modulo torsion |
j |
-3869893/300 |
j-invariant |
L |
4.8246213091815 |
L(r)(E,1)/r! |
Ω |
0.24029561996449 |
Real period |
R |
2.5097322354166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003207 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25350db1 15210bk1 76050fg1 |
Quadratic twists by: -3 5 13 |