Atkin-Lehner |
3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7497l |
Isogeny class |
Conductor |
7497 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-10502147282571 = -1 · 37 · 710 · 17 |
Discriminant |
Eigenvalues |
0 3- 1 7- 5 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2352,-161982] |
[a1,a2,a3,a4,a6] |
j |
-16777216/122451 |
j-invariant |
L |
2.4280007402346 |
L(r)(E,1)/r! |
Ω |
0.30350009252933 |
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 |
119952gh1 2499k1 1071c1 127449z1 |
Quadratic twists by: -4 -3 -7 17 |