Atkin-Lehner |
2- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20230p |
Isogeny class |
Conductor |
20230 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
154071680000 = 210 · 54 · 72 · 173 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10665,422617] |
[a1,a2,a3,a4,a6] |
Generators |
[194:-2477:1] |
Generators of the group modulo torsion |
j |
27306250652897/31360000 |
j-invariant |
L |
5.4503452190692 |
L(r)(E,1)/r! |
Ω |
1.0226472496757 |
Real period |
R |
0.13324108632761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101150u1 20230n1 |
Quadratic twists by: 5 17 |