Atkin-Lehner |
2+ 37+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
5846a |
Isogeny class |
Conductor |
5846 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
6921664 = 26 · 372 · 79 |
Discriminant |
Eigenvalues |
2+ 1 -3 3 0 -5 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4700,123610] |
[a1,a2,a3,a4,a6] |
Generators |
[25:135:1] |
Generators of the group modulo torsion |
j |
11478481794175033/6921664 |
j-invariant |
L |
2.9718163658557 |
L(r)(E,1)/r! |
Ω |
1.948217987534 |
Real period |
R |
0.38135059640033 |
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 |
46768f1 52614i1 |
Quadratic twists by: -4 -3 |