Atkin-Lehner |
2+ 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59696f |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
26240 |
Modular degree for the optimal curve |
Δ |
-2293281536 = -1 · 28 · 75 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- -4 13- -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57,2291] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:49:1] |
Generators of the group modulo torsion |
j |
-81415168/8958131 |
j-invariant |
L |
4.292074964933 |
L(r)(E,1)/r! |
Ω |
1.1963780137172 |
Real period |
R |
0.71751150818364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29848e1 |
Quadratic twists by: -4 |