Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550cm |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
1190 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
-6.7284220305771E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -1 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1503062,-1026732508] |
[a1,a2,a3,a4,a6] |
Generators |
[1472:65414:1] |
Generators of the group modulo torsion |
j |
24034459157212006439/43061900995693440 |
j-invariant |
L |
10.572817555821 |
L(r)(E,1)/r! |
Ω |
0.084623328039264 |
Real period |
R |
0.10499138761147 |
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 |
97650bv1 6510d1 |
Quadratic twists by: -3 5 |