Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610cj |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-2021869486080000 = -1 · 223 · 36 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6827,-2172549] |
[a1,a2,a3,a4,a6] |
Generators |
[171:1194:1] |
Generators of the group modulo torsion |
j |
-91236912601/5242880000 |
j-invariant |
L |
10.737642531943 |
L(r)(E,1)/r! |
Ω |
0.20461035061378 |
Real period |
R |
0.57041838514805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5290b1 47610bw1 |
Quadratic twists by: -3 -23 |