Atkin-Lehner |
3+ 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53655j |
Isogeny class |
Conductor |
53655 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-754807164980376375 = -1 · 315 · 53 · 78 · 73 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ -1 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2794642,1797519319] |
[a1,a2,a3,a4,a6] |
j |
-418714672740668521/130933776375 |
j-invariant |
L |
2.5051475085262 |
L(r)(E,1)/r! |
Ω |
0.27834972339913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53655n1 |
Quadratic twists by: -7 |