Atkin-Lehner |
2- 7+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
92414q |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-512134221369344 = -1 · 212 · 78 · 232 · 41 |
Discriminant |
Eigenvalues |
2- -1 3 7+ -1 -2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13084,-1237251] |
[a1,a2,a3,a4,a6] |
Generators |
[167:1043:1] |
Generators of the group modulo torsion |
j |
-42969774337/88838144 |
j-invariant |
L |
10.746071896576 |
L(r)(E,1)/r! |
Ω |
0.209455831599 |
Real period |
R |
0.71256549644058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92414ba1 |
Quadratic twists by: -7 |