Atkin-Lehner |
2- 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76956a |
Isogeny class |
Conductor |
76956 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
234432 |
Modular degree for the optimal curve |
Δ |
-462438986287872 = -1 · 28 · 3 · 118 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 3 11- -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17747,498287] |
[a1,a2,a3,a4,a6] |
j |
11264000/8427 |
j-invariant |
L |
2.0187250855606 |
L(r)(E,1)/r! |
Ω |
0.33645419214933 |
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 |
76956b1 |
Quadratic twists by: -11 |