Atkin-Lehner |
2- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29450p |
Isogeny class |
Conductor |
29450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-329347069121093750 = -1 · 2 · 510 · 19 · 316 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,141287,18620781] |
[a1,a2,a3,a4,a6] |
j |
19962278260435511/21078212423750 |
j-invariant |
L |
2.4198900135727 |
L(r)(E,1)/r! |
Ω |
0.20165750113109 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5890b1 |
Quadratic twists by: 5 |