Atkin-Lehner |
5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29575n |
Isogeny class |
Conductor |
29575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
936000 |
Modular degree for the optimal curve |
Δ |
-278814211279296875 = -1 · 511 · 7 · 138 |
Discriminant |
Eigenvalues |
-2 -3 5+ 7- -3 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-54925,25883406] |
[a1,a2,a3,a4,a6] |
j |
-1437696/21875 |
j-invariant |
L |
0.52230460644895 |
L(r)(E,1)/r! |
Ω |
0.26115230322369 |
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 |
5915h1 29575d1 |
Quadratic twists by: 5 13 |