Atkin-Lehner |
5+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
52325n |
Isogeny class |
Conductor |
52325 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
803520 |
Modular degree for the optimal curve |
Δ |
-3458727728421875 = -1 · 56 · 72 · 135 · 233 |
Discriminant |
Eigenvalues |
2 -3 5+ 7- 3 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-38275,-4038969] |
[a1,a2,a3,a4,a6] |
Generators |
[11042:405765:8] |
Generators of the group modulo torsion |
j |
-396870925750272/221358574619 |
j-invariant |
L |
7.7342097218147 |
L(r)(E,1)/r! |
Ω |
0.16635650966478 |
Real period |
R |
4.649177683131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2093a1 |
Quadratic twists by: 5 |