Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216t |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-39392847663497216 = -1 · 215 · 79 · 313 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 2 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47105,10312511] |
[a1,a2,a3,a4,a6] |
Generators |
[65:2744:1] |
Generators of the group modulo torsion |
j |
-8741816/29791 |
j-invariant |
L |
8.3109925253936 |
L(r)(E,1)/r! |
Ω |
0.31865909303678 |
Real period |
R |
2.1734283603767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216i1 48608f1 97216j1 |
Quadratic twists by: -4 8 -7 |