Atkin-Lehner |
2+ 3- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
74646z |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-989130562992 = -1 · 24 · 36 · 113 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 11- 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-216,47920] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2480:1] |
Generators of the group modulo torsion |
j |
-1532808577/1356832048 |
j-invariant |
L |
6.4289711289969 |
L(r)(E,1)/r! |
Ω |
0.70987588421678 |
Real period |
R |
0.25156866900436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8294c1 |
Quadratic twists by: -3 |