Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520cp |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-18743404271616000 = -1 · 214 · 35 · 53 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55336,8257460] |
[a1,a2,a3,a4,a6] |
Generators |
[14:2736:1] |
Generators of the group modulo torsion |
j |
-4575040052338729/4576026433500 |
j-invariant |
L |
6.4013885199286 |
L(r)(E,1)/r! |
Ω |
0.35224009965031 |
Real period |
R |
0.45433416917099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690c1 |
Quadratic twists by: -4 |