Atkin-Lehner |
2- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
84656v |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
7603200 |
Modular degree for the optimal curve |
Δ |
-1.4460276396055E+21 |
Discriminant |
Eigenvalues |
2- -3 -3 0 11+ 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2814341,-211922774] |
[a1,a2,a3,a4,a6] |
Generators |
[79:3302:1] [989:59488:1] |
Generators of the group modulo torsion |
j |
601857832933580053167/353034091700560556 |
j-invariant |
L |
5.6348017315593 |
L(r)(E,1)/r! |
Ω |
0.089063377609961 |
Real period |
R |
1.4378937690158 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582p1 |
Quadratic twists by: -4 |