Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
984c |
Isogeny class |
Conductor |
984 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-4287437568 = -1 · 28 · 35 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 1 4 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-369,4293] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:82:1] |
Generators of the group modulo torsion |
j |
-21764027392/16747803 |
j-invariant |
L |
1.9979012463123 |
L(r)(E,1)/r! |
Ω |
1.2706245284955 |
Real period |
R |
0.26206289394265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1968d1 7872o1 2952b1 24600r1 |
Quadratic twists by: -4 8 -3 5 |