Atkin-Lehner |
2- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
92510p |
Isogeny class |
Conductor |
92510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
890880 |
Modular degree for the optimal curve |
Δ |
-55027105425710000 = -1 · 24 · 54 · 11 · 298 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11+ -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-234236,45050816] |
[a1,a2,a3,a4,a6] |
Generators |
[-544:3672:1] |
Generators of the group modulo torsion |
j |
-2841193249/110000 |
j-invariant |
L |
12.417133724435 |
L(r)(E,1)/r! |
Ω |
0.35106176067433 |
Real period |
R |
4.4212782229941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999881386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92510c1 |
Quadratic twists by: 29 |