Atkin-Lehner |
2+ 3- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
84912h |
Isogeny class |
Conductor |
84912 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-3171074468788224 = -1 · 211 · 315 · 29 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 -2 2 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29424,-1878732] |
[a1,a2,a3,a4,a6] |
Generators |
[948:29646:1] |
Generators of the group modulo torsion |
j |
1375574560653022/1548376205463 |
j-invariant |
L |
7.7724037241594 |
L(r)(E,1)/r! |
Ω |
0.24183330616923 |
Real period |
R |
0.53565848319285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42456i1 |
Quadratic twists by: -4 |