Atkin-Lehner |
3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53655o |
Isogeny class |
Conductor |
53655 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
170436341565 = 34 · 5 · 78 · 73 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 0 2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2515,-45146] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:4:1] |
Generators of the group modulo torsion |
j |
305299456/29565 |
j-invariant |
L |
6.531768881298 |
L(r)(E,1)/r! |
Ω |
0.67833587340886 |
Real period |
R |
2.4072768142665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53655g1 |
Quadratic twists by: -7 |