Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850dm |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
367017087467520000 = 224 · 36 · 54 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -7 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2972592,-1971696384] |
[a1,a2,a3,a4,a6] |
Generators |
[-19741536:13450672:19683] |
Generators of the group modulo torsion |
j |
6375616158287489425/805524471808 |
j-invariant |
L |
4.0620915190858 |
L(r)(E,1)/r! |
Ω |
0.11497912893541 |
Real period |
R |
5.8881577854928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650bh1 59850et1 |
Quadratic twists by: -3 5 |