Atkin-Lehner |
2+ 5- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
76850d |
Isogeny class |
Conductor |
76850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1386720 |
Modular degree for the optimal curve |
Δ |
-601377940965625000 = -1 · 23 · 58 · 293 · 534 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 2 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-574575,-171977875] |
[a1,a2,a3,a4,a6] |
j |
-53703802330074265/1539527528872 |
j-invariant |
L |
3.1160288914737 |
L(r)(E,1)/r! |
Ω |
0.086556359218163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76850l1 |
Quadratic twists by: 5 |