Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30492ba |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-8841944716384869936 = -1 · 24 · 314 · 72 · 119 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127776,144140645] |
[a1,a2,a3,a4,a6] |
j |
-8388608/321489 |
j-invariant |
L |
0.77079482464094 |
L(r)(E,1)/r! |
Ω |
0.19269870616084 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968dm1 10164i1 30492l1 |
Quadratic twists by: -4 -3 -11 |