Atkin-Lehner |
3+ 7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
92463b |
Isogeny class |
Conductor |
92463 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-21364966516131 = -1 · 33 · 76 · 173 · 372 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 3 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2483,-218058] |
[a1,a2,a3,a4,a6] |
Generators |
[404:8158:1] |
Generators of the group modulo torsion |
j |
14384365568/181599219 |
j-invariant |
L |
3.1245721448438 |
L(r)(E,1)/r! |
Ω |
0.33393357327147 |
Real period |
R |
2.3392168393274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999794857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1887c1 |
Quadratic twists by: -7 |