Atkin-Lehner |
5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
74725p |
Isogeny class |
Conductor |
74725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49536 |
Modular degree for the optimal curve |
Δ |
-31397576875 = -1 · 54 · 77 · 61 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 2 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,8523] |
[a1,a2,a3,a4,a6] |
Generators |
[11:92:1] |
Generators of the group modulo torsion |
j |
-25/427 |
j-invariant |
L |
4.1131471982779 |
L(r)(E,1)/r! |
Ω |
0.93652996901841 |
Real period |
R |
1.0979753277105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74725g1 10675p1 |
Quadratic twists by: 5 -7 |