Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598be |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
147011701539352832 = 28 · 72 · 134 · 177 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-265501,-49252315] |
[a1,a2,a3,a4,a6] |
Generators |
[-2786:8903:8] [-345:1264:1] |
Generators of the group modulo torsion |
j |
85748618900673/6090576128 |
j-invariant |
L |
12.464557028053 |
L(r)(E,1)/r! |
Ω |
0.21126293416745 |
Real period |
R |
3.687512990973 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3094e1 |
Quadratic twists by: 17 |