Atkin-Lehner |
2- 3+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63984v |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-8253936 = -1 · 24 · 32 · 31 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 -2 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10,-141] |
[a1,a2,a3,a4,a6] |
Generators |
[5:3:1] [61:473:1] |
Generators of the group modulo torsion |
j |
6243584/515871 |
j-invariant |
L |
8.9065074049683 |
L(r)(E,1)/r! |
Ω |
1.1077729789061 |
Real period |
R |
2.0100028558569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15996d1 |
Quadratic twists by: -4 |