Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49368bh |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
277554004992 = 210 · 32 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5848,168320] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:96:1] |
Generators of the group modulo torsion |
j |
12194500/153 |
j-invariant |
L |
6.4579617060319 |
L(r)(E,1)/r! |
Ω |
0.98055334591339 |
Real period |
R |
3.2930190554793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736n1 408a1 |
Quadratic twists by: -4 -11 |