Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117216bb |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22364160 |
Modular degree for the optimal curve |
Δ |
-2.6147308980557E+25 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175037241,-924670027060] |
[a1,a2,a3,a4,a6] |
Generators |
[584722982693069236512679363272149:146995305074031435173712995544130698:8851387890802454670362837867] |
Generators of the group modulo torsion |
j |
-12711815691958499017454272/560427575886434663451 |
j-invariant |
L |
3.769252862007 |
L(r)(E,1)/r! |
Ω |
0.02069993180389 |
Real period |
R |
45.522527534349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216r1 39072c1 |
Quadratic twists by: -4 -3 |