Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104ci |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-6228651405312 = -1 · 212 · 32 · 7 · 176 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4528,27348] |
[a1,a2,a3,a4,a6] |
Generators |
[1038:13760:27] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
9.8983846390775 |
L(r)(E,1)/r! |
Ω |
0.46348310091269 |
Real period |
R |
5.3391292007253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6069b1 336e1 |
Quadratic twists by: -4 17 |