Atkin-Lehner |
2- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2714c |
Isogeny class |
Conductor |
2714 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-7990016 = -1 · 28 · 232 · 59 |
Discriminant |
Eigenvalues |
2- 1 1 -3 0 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,50,4] |
[a1,a2,a3,a4,a6] |
Generators |
[6:20:1] |
Generators of the group modulo torsion |
j |
13806727199/7990016 |
j-invariant |
L |
5.1385698884825 |
L(r)(E,1)/r! |
Ω |
1.3944090616867 |
Real period |
R |
0.2303202315981 |
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 |
21712g1 86848m1 24426c1 67850a1 |
Quadratic twists by: -4 8 -3 5 |