Atkin-Lehner |
3+ 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
52725h |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-165058083984375 = -1 · 32 · 59 · 193 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,13237,201656] |
[a1,a2,a3,a4,a6] |
Generators |
[102:4829:8] |
Generators of the group modulo torsion |
j |
131328906787/84509739 |
j-invariant |
L |
2.7854033136105 |
L(r)(E,1)/r! |
Ω |
0.3578519253167 |
Real period |
R |
3.8918378198237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52725t1 |
Quadratic twists by: 5 |