Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290cj |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-933705299520 = -1 · 26 · 36 · 5 · 7 · 833 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,373,-46501] |
[a1,a2,a3,a4,a6] |
Generators |
[39:142:1] |
Generators of the group modulo torsion |
j |
7892485271/1280802880 |
j-invariant |
L |
10.784965298019 |
L(r)(E,1)/r! |
Ω |
0.41702261477237 |
Real period |
R |
2.1551519661579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5810b1 |
Quadratic twists by: -3 |