Atkin-Lehner |
2+ 3- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
63984k |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
213760 |
Modular degree for the optimal curve |
Δ |
-7622683228656 = -1 · 24 · 32 · 315 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 -6 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16700,835671] |
[a1,a2,a3,a4,a6] |
Generators |
[69:129:1] |
Generators of the group modulo torsion |
j |
-32194311982157056/476417701791 |
j-invariant |
L |
6.4596270914464 |
L(r)(E,1)/r! |
Ω |
0.74340616387326 |
Real period |
R |
2.1723074830966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31992i1 |
Quadratic twists by: -4 |