Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
92046h |
Isogeny class |
Conductor |
92046 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-206065957488 = -1 · 24 · 3 · 236 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,253,21806] |
[a1,a2,a3,a4,a6] |
Generators |
[34013:330000:343] |
Generators of the group modulo torsion |
j |
12167/1392 |
j-invariant |
L |
6.13848511291 |
L(r)(E,1)/r! |
Ω |
0.76920457532003 |
Real period |
R |
7.9803023964593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
174d1 |
Quadratic twists by: -23 |