Atkin-Lehner |
2+ 3- 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010k |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
-2.5014311751411E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4141710,-4038230700] |
[a1,a2,a3,a4,a6] |
Generators |
[65181:110603:27] |
Generators of the group modulo torsion |
j |
-10777928608322539918561/3431318484418560000 |
j-invariant |
L |
3.4121155569755 |
L(r)(E,1)/r! |
Ω |
0.052068528144707 |
Real period |
R |
8.1914058227149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670z1 |
Quadratic twists by: -3 |