Atkin-Lehner |
2- 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
94162o |
Isogeny class |
Conductor |
94162 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
993600 |
Modular degree for the optimal curve |
Δ |
-4962410515286408 = -1 · 23 · 238 · 892 |
Discriminant |
Eigenvalues |
2- 1 -4 2 4 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-127500,17837336] |
[a1,a2,a3,a4,a6] |
Generators |
[562:10844:1] |
Generators of the group modulo torsion |
j |
-2927061121/63368 |
j-invariant |
L |
9.3563358218044 |
L(r)(E,1)/r! |
Ω |
0.43197053618838 |
Real period |
R |
3.6099436760568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999889568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94162s1 |
Quadratic twists by: -23 |