Atkin-Lehner |
2+ 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
49608f |
Isogeny class |
Conductor |
49608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41280 |
Modular degree for the optimal curve |
Δ |
-54519588864 = -1 · 211 · 36 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 4 13- -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-11234] |
[a1,a2,a3,a4,a6] |
Generators |
[16086:392624:27] |
Generators of the group modulo torsion |
j |
-2/36517 |
j-invariant |
L |
6.795638213183 |
L(r)(E,1)/r! |
Ω |
0.51287277824233 |
Real period |
R |
6.6250720466378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99216n1 5512d1 |
Quadratic twists by: -4 -3 |