Atkin-Lehner |
5- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
55825ba |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-375909705294921875 = -1 · 59 · 72 · 115 · 293 |
Discriminant |
Eigenvalues |
2 1 5- 7- 11- 3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-55958,29916619] |
[a1,a2,a3,a4,a6] |
Generators |
[1114:39871:8] |
Generators of the group modulo torsion |
j |
-9921743286272/192465769111 |
j-invariant |
L |
15.173389731845 |
L(r)(E,1)/r! |
Ω |
0.25355814063512 |
Real period |
R |
0.9973642661598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55825w1 |
Quadratic twists by: 5 |