Atkin-Lehner |
3- 5+ 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
32595d |
Isogeny class |
Conductor |
32595 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
-6.7299222369965E+21 |
Discriminant |
Eigenvalues |
2 3- 5+ -4 -5 -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,3151424,3308880955] |
[a1,a2,a3,a4,a6] |
Generators |
[-6374:136895:8] [17242:-1134679:8] |
Generators of the group modulo torsion |
j |
3461338624635951286317056/6729922236996513691875 |
j-invariant |
L |
15.389408011324 |
L(r)(E,1)/r! |
Ω |
0.091885279547446 |
Real period |
R |
0.66462310079256 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97785f1 |
Quadratic twists by: -3 |