Atkin-Lehner |
2- 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520ct |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-2314000527360 = -1 · 212 · 3 · 5 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-480,73140] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:204:1] |
Generators of the group modulo torsion |
j |
-2992209121/564941535 |
j-invariant |
L |
7.708493875867 |
L(r)(E,1)/r! |
Ω |
0.66868203075966 |
Real period |
R |
2.8819728668273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845d1 |
Quadratic twists by: -4 |