Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850cg |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.1290948151111E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-394412067,-3015238239909] |
[a1,a2,a3,a4,a6] |
Generators |
[914685252129060009:-117514702021683453141:28784845650023] |
Generators of the group modulo torsion |
j |
-595698819458679957260521/99124922039928750 |
j-invariant |
L |
3.2785263423166 |
L(r)(E,1)/r! |
Ω |
0.016938606340723 |
Real period |
R |
24.194186023033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950cy2 11970bs2 |
Quadratic twists by: -3 5 |