Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656cx |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-470756710416384 = -1 · 223 · 32 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 5 2 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9424,1104832] |
[a1,a2,a3,a4,a6] |
j |
-192100033/976896 |
j-invariant |
L |
3.6466405865498 |
L(r)(E,1)/r! |
Ω |
0.45583030394086 |
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 |
15582ba1 2544f1 |
Quadratic twists by: -4 -7 |