Atkin-Lehner |
2- 3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
63960r |
Isogeny class |
Conductor |
63960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5038080 |
Modular degree for the optimal curve |
Δ |
-1.3472932399395E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37674616,89011387520] |
[a1,a2,a3,a4,a6] |
Generators |
[4720:127920:1] |
Generators of the group modulo torsion |
j |
-5775243105884888996916196/1315716054628412775 |
j-invariant |
L |
6.8994380348492 |
L(r)(E,1)/r! |
Ω |
0.14833635268005 |
Real period |
R |
1.9380049434722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920d1 |
Quadratic twists by: -4 |