Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
92256m |
Isogeny class |
Conductor |
92256 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2.9605608276678E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 1 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1937696,-1071332232] |
[a1,a2,a3,a4,a6] |
Generators |
[6706:536238:1] [14698:1773666:1] |
Generators of the group modulo torsion |
j |
-1770682685192/65152917 |
j-invariant |
L |
12.337951523048 |
L(r)(E,1)/r! |
Ω |
0.063842650546455 |
Real period |
R |
3.4509933567136 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92256b1 2976e1 |
Quadratic twists by: -4 -31 |