Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850r |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-10054800 = -1 · 24 · 33 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42,196] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:14:1] [0:14:1] |
Generators of the group modulo torsion |
j |
-12301875/14896 |
j-invariant |
L |
7.663186718265 |
L(r)(E,1)/r! |
Ω |
2.0731831900499 |
Real period |
R |
0.46204230498287 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850ee1 59850ej1 |
Quadratic twists by: -3 5 |