Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66424d |
Isogeny class |
Conductor |
66424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
1.9808637330062E+21 |
Discriminant |
Eigenvalues |
2+ 1 3 2 3 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16080504,24721856624] |
[a1,a2,a3,a4,a6] |
Generators |
[68427300442303878577455:6637332371624003019729862:67930346965018819581] |
Generators of the group modulo torsion |
j |
4772777079094274/20559049997 |
j-invariant |
L |
10.490041657943 |
L(r)(E,1)/r! |
Ω |
0.14824905489163 |
Real period |
R |
35.379792692814 |
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 |
3496h1 |
Quadratic twists by: -19 |