Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850gb |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-78753323250 = -1 · 2 · 38 · 53 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 7 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6935,224417] |
[a1,a2,a3,a4,a6] |
j |
-404731359773/864234 |
j-invariant |
L |
4.348704696108 |
L(r)(E,1)/r! |
Ω |
1.0871761747744 |
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 |
19950be1 59850dg1 |
Quadratic twists by: -3 5 |