Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46746n |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-76262587087454208 = -1 · 224 · 36 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-124812,-21522992] |
[a1,a2,a3,a4,a6] |
j |
-2507141976625/889192448 |
j-invariant |
L |
0.49910744542297 |
L(r)(E,1)/r! |
Ω |
0.12477686135813 |
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 |
5194n1 954e1 |
Quadratic twists by: -3 -7 |