Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736dq |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-342004432896 = -1 · 215 · 33 · 75 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -2 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2124,47024] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:168:1] [-8:252:1] |
Generators of the group modulo torsion |
j |
-1197770328/386561 |
j-invariant |
L |
9.590773622415 |
L(r)(E,1)/r! |
Ω |
0.90742849167005 |
Real period |
R |
0.2642294602425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736cx1 46368h1 92736dk1 |
Quadratic twists by: -4 8 -3 |