Atkin-Lehner |
2+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
92510i |
Isogeny class |
Conductor |
92510 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-778009100 = -1 · 22 · 52 · 11 · 294 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 11+ 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18,-1344] |
[a1,a2,a3,a4,a6] |
Generators |
[12:8:1] |
Generators of the group modulo torsion |
j |
-841/1100 |
j-invariant |
L |
6.523654661583 |
L(r)(E,1)/r! |
Ω |
0.72046534139594 |
Real period |
R |
0.75456494008894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92510v1 |
Quadratic twists by: 29 |