Atkin-Lehner |
2- 5+ 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
59450m |
Isogeny class |
Conductor |
59450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-148625000 = -1 · 23 · 56 · 29 · 41 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 3 -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30,597] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:25:1] |
Generators of the group modulo torsion |
j |
-185193/9512 |
j-invariant |
L |
4.8237718431514 |
L(r)(E,1)/r! |
Ω |
1.51680353816 |
Real period |
R |
0.53003698479832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2378b1 |
Quadratic twists by: 5 |