Atkin-Lehner |
2- 7- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120176ba |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-35430472387330048 = -1 · 216 · 73 · 292 · 374 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,66949,6128554] |
[a1,a2,a3,a4,a6] |
Generators |
[1767:75110:1] |
Generators of the group modulo torsion |
j |
8102071053045423/8650017672688 |
j-invariant |
L |
6.8574368543351 |
L(r)(E,1)/r! |
Ω |
0.24305495537863 |
Real period |
R |
1.1755635075791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15022i1 |
Quadratic twists by: -4 |