Atkin-Lehner |
7- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52577c |
Isogeny class |
Conductor |
52577 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-25626187531 = -1 · 77 · 292 · 37 |
Discriminant |
Eigenvalues |
0 0 -3 7- 5 -7 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1274,19122] |
[a1,a2,a3,a4,a6] |
Generators |
[84:710:1] |
Generators of the group modulo torsion |
j |
-1943764992/217819 |
j-invariant |
L |
3.3947691507052 |
L(r)(E,1)/r! |
Ω |
1.1595125251541 |
Real period |
R |
0.3659694351177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7511a1 |
Quadratic twists by: -7 |