Atkin-Lehner |
5+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
42275a |
Isogeny class |
Conductor |
42275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22960 |
Modular degree for the optimal curve |
Δ |
-2351546875 = -1 · 56 · 19 · 892 |
Discriminant |
Eigenvalues |
-2 0 5+ -1 -5 2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,175,2156] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:44:1] |
Generators of the group modulo torsion |
j |
37933056/150499 |
j-invariant |
L |
1.6227295772635 |
L(r)(E,1)/r! |
Ω |
1.0367339914611 |
Real period |
R |
0.78261617282129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1691a1 |
Quadratic twists by: 5 |