Atkin-Lehner |
2- 3+ 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
92862bg |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
1233792 |
Modular degree for the optimal curve |
Δ |
1731971141074944 = 221 · 33 · 73 · 113 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1132289,464028689] |
[a1,a2,a3,a4,a6] |
Generators |
[-777:29956:1] |
Generators of the group modulo torsion |
j |
5946089653540063204659/64147079299072 |
j-invariant |
L |
7.6183733327926 |
L(r)(E,1)/r! |
Ω |
0.42731089464851 |
Real period |
R |
0.42449149676657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000163 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
92862e2 |
Quadratic twists by: -3 |