Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502u |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1142400 |
Modular degree for the optimal curve |
Δ |
-1777514522069088 = -1 · 25 · 312 · 116 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 11- -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-779202,264944884] |
[a1,a2,a3,a4,a6] |
j |
-40512641613625/1376352 |
j-invariant |
L |
0.87964423176972 |
L(r)(E,1)/r! |
Ω |
0.43982201801394 |
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 |
42834w1 1062k1 |
Quadratic twists by: -3 -11 |