Atkin-Lehner |
2- 3+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
5214b |
Isogeny class |
Conductor |
5214 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1400 |
Modular degree for the optimal curve |
Δ |
-6757344 = -1 · 25 · 35 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 11+ 5 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79,-331] |
[a1,a2,a3,a4,a6] |
j |
-54569318257/6757344 |
j-invariant |
L |
3.9756136052966 |
L(r)(E,1)/r! |
Ω |
0.79512272105933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41712e1 15642d1 57354g1 |
Quadratic twists by: -4 -3 -11 |