Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550dg |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
2240 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-4.5260843508396E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1092935,-1113780033] |
[a1,a2,a3,a4,a6] |
Generators |
[1659:39630:1] |
Generators of the group modulo torsion |
j |
-42779190704491347471/134106202987839488 |
j-invariant |
L |
9.5917741031267 |
L(r)(E,1)/r! |
Ω |
0.068114391531464 |
Real period |
R |
0.25146180794002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550r1 53550m1 |
Quadratic twists by: -3 5 |