Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
36252k |
Isogeny class |
Conductor |
36252 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
83459441839824 = 24 · 315 · 193 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399972,-97361683] |
[a1,a2,a3,a4,a6] |
Generators |
[-365990:13851:1000] |
Generators of the group modulo torsion |
j |
606687392623673344/7155301941 |
j-invariant |
L |
6.5913994925162 |
L(r)(E,1)/r! |
Ω |
0.18984207170395 |
Real period |
R |
2.8933696630725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12084a1 |
Quadratic twists by: -3 |