Atkin-Lehner |
2- 3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
99540u |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-10447678335150000 = -1 · 24 · 314 · 55 · 7 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,46428,3059089] |
[a1,a2,a3,a4,a6] |
Generators |
[18:1975:1] |
Generators of the group modulo torsion |
j |
948890565165056/895720021875 |
j-invariant |
L |
7.9551830712893 |
L(r)(E,1)/r! |
Ω |
0.26618675239445 |
Real period |
R |
0.99619070494808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33180l1 |
Quadratic twists by: -3 |