Atkin-Lehner |
2+ 3- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
36498y |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
14203641913699392 = 26 · 312 · 7 · 112 · 793 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-93286,9340280] |
[a1,a2,a3,a4,a6] |
j |
89777278072728177625/14203641913699392 |
j-invariant |
L |
1.5150836418879 |
L(r)(E,1)/r! |
Ω |
0.37877091047381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
109494cq1 |
Quadratic twists by: -3 |