Atkin-Lehner |
3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92565j |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
2.5244069534385E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-786825,-116980000] |
[a1,a2,a3,a4,a6] |
Generators |
[-604:12034:1] |
Generators of the group modulo torsion |
j |
1126259840967507/527763671875 |
j-invariant |
L |
6.9540777240816 |
L(r)(E,1)/r! |
Ω |
0.16775345570883 |
Real period |
R |
6.9090258011526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92565n1 8415d1 |
Quadratic twists by: -3 -11 |