Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736n |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-23860820991168 = -1 · 26 · 39 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -1 0 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13716,-661446] |
[a1,a2,a3,a4,a6] |
Generators |
[139:343:1] [531:11907:1] |
Generators of the group modulo torsion |
j |
-226534772736/18941489 |
j-invariant |
L |
10.558773094641 |
L(r)(E,1)/r! |
Ω |
0.21952846011009 |
Real period |
R |
3.4355366853816 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736dc1 1449a1 92736u1 |
Quadratic twists by: -4 8 -3 |