Atkin-Lehner |
5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23275a |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-445498046875 = -1 · 510 · 74 · 19 |
Discriminant |
Eigenvalues |
0 0 5+ 7+ 1 -2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2450,56656] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:312:1] |
Generators of the group modulo torsion |
j |
-43352064/11875 |
j-invariant |
L |
3.5459194315045 |
L(r)(E,1)/r! |
Ω |
0.89212112921481 |
Real period |
R |
0.99367656346884 |
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 |
4655a1 23275s1 |
Quadratic twists by: 5 -7 |