Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97608h |
Isogeny class |
Conductor |
97608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
367471474944 = 28 · 3 · 78 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4524,111936] |
[a1,a2,a3,a4,a6] |
Generators |
[1713:7840:27] |
Generators of the group modulo torsion |
j |
340062928/12201 |
j-invariant |
L |
8.2683411751922 |
L(r)(E,1)/r! |
Ω |
0.94782994454637 |
Real period |
R |
4.3617218520985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13944e1 |
Quadratic twists by: -7 |