Atkin-Lehner |
3- 5+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
126825t |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
30311424 |
Modular degree for the optimal curve |
Δ |
-1.846146357747E+25 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 0 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5519158,-206786210531] |
[a1,a2,a3,a4,a6] |
Generators |
[78204742:13098543053:2744] |
Generators of the group modulo torsion |
j |
-1189932279583198818304/1181533668958079296875 |
j-invariant |
L |
18.216826772755 |
L(r)(E,1)/r! |
Ω |
0.031072729103385 |
Real period |
R |
6.3724362338937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000092724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25365b1 |
Quadratic twists by: 5 |