Atkin-Lehner |
3- 5- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128325ba |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-136587926953125 = -1 · 35 · 58 · 293 · 59 |
Discriminant |
Eigenvalues |
1 3- 5- -2 3 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-326,-562327] |
[a1,a2,a3,a4,a6] |
j |
-9765625/349665093 |
j-invariant |
L |
3.9902174845456 |
L(r)(E,1)/r! |
Ω |
0.26601446601282 |
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 |
128325f1 |
Quadratic twists by: 5 |