Atkin-Lehner |
2+ 3- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47502v |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-754141752 = -1 · 23 · 36 · 73 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,63,-1323] |
[a1,a2,a3,a4,a6] |
Generators |
[21:84:1] |
Generators of the group modulo torsion |
j |
37595375/1034488 |
j-invariant |
L |
4.4107678805125 |
L(r)(E,1)/r! |
Ω |
0.77263767623387 |
Real period |
R |
0.95145241126047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5278g1 |
Quadratic twists by: -3 |