Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
92256p |
Isogeny class |
Conductor |
92256 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-300224641536 = -1 · 29 · 39 · 313 |
Discriminant |
Eigenvalues |
2- 3- -3 0 -3 -3 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1168,21816] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:54:1] [10:-186:1] |
Generators of the group modulo torsion |
j |
11543176/19683 |
j-invariant |
L |
11.031832606722 |
L(r)(E,1)/r! |
Ω |
0.66456059303152 |
Real period |
R |
0.46111640960931 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92256f1 92256k1 |
Quadratic twists by: -4 -31 |