Atkin-Lehner |
3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
124545n |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103118400 |
Modular degree for the optimal curve |
Δ |
-8.5669938405967E+23 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 3 -7 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4760482211,126424141051136] |
[a1,a2,a3,a4,a6] |
Generators |
[149655772420630:92816031855131567:11405819251] |
Generators of the group modulo torsion |
j |
-253603326794038661309169664/18209870149092795 |
j-invariant |
L |
4.827046969446 |
L(r)(E,1)/r! |
Ω |
0.067565559053482 |
Real period |
R |
17.860604711437 |
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 |
6555l1 |
Quadratic twists by: -19 |