Atkin-Lehner |
3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
53655v |
Isogeny class |
Conductor |
53655 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
17136 |
Modular degree for the optimal curve |
Δ |
-838359375 = -1 · 3 · 57 · 72 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 3 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15,1392] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:38:1] |
Generators of the group modulo torsion |
j |
-7649089/17109375 |
j-invariant |
L |
5.161473362544 |
L(r)(E,1)/r! |
Ω |
1.2742564453571 |
Real period |
R |
0.57865380253577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53655a1 |
Quadratic twists by: -7 |