Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850dg |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-1230520675781250 = -1 · 2 · 38 · 59 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 5 -7 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-173367,27878791] |
[a1,a2,a3,a4,a6] |
j |
-404731359773/864234 |
j-invariant |
L |
1.9447998650977 |
L(r)(E,1)/r! |
Ω |
0.48619996606274 |
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 |
19950cm1 59850gb1 |
Quadratic twists by: -3 5 |