Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43512bc |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-1310500681728 = -1 · 211 · 3 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 3 -5 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17264,-880608] |
[a1,a2,a3,a4,a6] |
Generators |
[187137177761160267:-257226986942089212:1229065994770613] |
Generators of the group modulo torsion |
j |
-48201314/111 |
j-invariant |
L |
5.9540124178105 |
L(r)(E,1)/r! |
Ω |
0.20821987741121 |
Real period |
R |
28.594832020057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87024a1 43512u1 |
Quadratic twists by: -4 -7 |