Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552bc |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-59561479063296 = -1 · 28 · 34 · 7 · 177 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7996,-246624] |
[a1,a2,a3,a4,a6] |
Generators |
[910:27594:1] |
Generators of the group modulo torsion |
j |
9148592/9639 |
j-invariant |
L |
6.6294956082197 |
L(r)(E,1)/r! |
Ω |
0.33844184297857 |
Real period |
R |
4.897071495257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97104h1 2856f1 |
Quadratic twists by: -4 17 |