Atkin-Lehner |
2+ 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49818l |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2376000 |
Modular degree for the optimal curve |
Δ |
-1.9938515565945E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 6 -7 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-843665,-742028476] |
[a1,a2,a3,a4,a6] |
Generators |
[19940337854257392:429043719529446031:13907109998592] |
Generators of the group modulo torsion |
j |
-1411599396089233/4238100157152 |
j-invariant |
L |
6.6028861176682 |
L(r)(E,1)/r! |
Ω |
0.072804435698577 |
Real period |
R |
22.673364796773 |
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 |
2622a1 |
Quadratic twists by: -19 |