Atkin-Lehner |
3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29925r |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
409148124697265625 = 38 · 510 · 72 · 194 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-571505,163564872] |
[a1,a2,a3,a4,a6] |
j |
1812322775712961/35919725625 |
j-invariant |
L |
1.1968233322547 |
L(r)(E,1)/r! |
Ω |
0.2992058330637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9975a3 5985j4 |
Quadratic twists by: -3 5 |