Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
36252m |
Isogeny class |
Conductor |
36252 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
2298240 |
Modular degree for the optimal curve |
Δ |
2.283734825386E+22 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -2 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10086276,-9957488767] |
[a1,a2,a3,a4,a6] |
Generators |
[3802:81567:1] |
Generators of the group modulo torsion |
j |
9729012135299246768128/1957934521078501869 |
j-invariant |
L |
6.9801831105095 |
L(r)(E,1)/r! |
Ω |
0.085910413976371 |
Real period |
R |
0.32241887851962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12084b1 |
Quadratic twists by: -3 |