Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264cb |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-4215476846592 = -1 · 225 · 35 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19713,-1076481] |
[a1,a2,a3,a4,a6] |
j |
-3231945186625/16080768 |
j-invariant |
L |
4.0279147858917 |
L(r)(E,1)/r! |
Ω |
0.20139574805603 |
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 |
99264h1 24816q1 |
Quadratic twists by: -4 8 |