Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104by |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-112758718464 = -1 · 215 · 35 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -5 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,-16128] |
[a1,a2,a3,a4,a6] |
Generators |
[32:112:1] |
Generators of the group modulo torsion |
j |
-83521/95256 |
j-invariant |
L |
3.9129727748276 |
L(r)(E,1)/r! |
Ω |
0.47556687712772 |
Real period |
R |
1.0285022342303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138v1 97104cm1 |
Quadratic twists by: -4 17 |