Atkin-Lehner |
3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25143o |
Isogeny class |
Conductor |
25143 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
526080 |
Modular degree for the optimal curve |
Δ |
-73462259501973 = -1 · 36 · 173 · 295 |
Discriminant |
Eigenvalues |
-1 3- 0 -1 6 7 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6413443,-6252045106] |
[a1,a2,a3,a4,a6] |
j |
-5938143247798387978625/14952627621 |
j-invariant |
L |
2.2768686960281 |
L(r)(E,1)/r! |
Ω |
0.04743476450059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75429s1 25143e1 |
Quadratic twists by: -3 17 |