Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
1770a |
Isogeny class |
Conductor |
1770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-3262464000 = -1 · 214 · 33 · 53 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -2 1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33,-2763] |
[a1,a2,a3,a4,a6] |
Generators |
[34:175:1] |
Generators of the group modulo torsion |
j |
-4165509529/3262464000 |
j-invariant |
L |
1.7309519601389 |
L(r)(E,1)/r! |
Ω |
0.63755445633724 |
Real period |
R |
1.3574934210979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14160w1 56640bj1 5310r1 8850bc1 |
Quadratic twists by: -4 8 -3 5 |