Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
52528bj |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
11340104782053376 = 222 · 79 · 67 |
Discriminant |
Eigenvalues |
2- -3 3 7- 4 5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300811,63295162] |
[a1,a2,a3,a4,a6] |
Generators |
[343:686:1] |
Generators of the group modulo torsion |
j |
18212205591/68608 |
j-invariant |
L |
5.2945741026292 |
L(r)(E,1)/r! |
Ω |
0.40521110590886 |
Real period |
R |
1.6332764655028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6566o1 52528bg1 |
Quadratic twists by: -4 -7 |