Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25270i |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-15642755432500000 = -1 · 25 · 57 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 1 3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25277,-6223651] |
[a1,a2,a3,a4,a6] |
Generators |
[853:23941:1] |
Generators of the group modulo torsion |
j |
-37966934881/332500000 |
j-invariant |
L |
5.9601345472263 |
L(r)(E,1)/r! |
Ω |
0.16597221578963 |
Real period |
R |
2.5650311059898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350cx1 1330i1 |
Quadratic twists by: 5 -19 |