Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850gr |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
48478500 = 22 · 36 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-95,-93] |
[a1,a2,a3,a4,a6] |
j |
1030301/532 |
j-invariant |
L |
3.2373296904332 |
L(r)(E,1)/r! |
Ω |
1.6186648476899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6650p1 59850cx1 |
Quadratic twists by: -3 5 |