Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
57798d |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
67925760 |
Modular degree for the optimal curve |
Δ |
-2.267700855077E+28 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -5 3 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-383504718,7800689854036] |
[a1,a2,a3,a4,a6] |
j |
-47864328251166811289619/174005063300429643776 |
j-invariant |
L |
0.93256163971629 |
L(r)(E,1)/r! |
Ω |
0.033305772848104 |
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 |
57798bc1 4446k1 |
Quadratic twists by: -3 13 |