Atkin-Lehner |
2+ 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
55550c |
Isogeny class |
Conductor |
55550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
205056 |
Modular degree for the optimal curve |
Δ |
-1527625000 = -1 · 23 · 56 · 112 · 101 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 11+ 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-146325,21483125] |
[a1,a2,a3,a4,a6] |
Generators |
[5925:-2275:27] |
Generators of the group modulo torsion |
j |
-22175014984908625/97768 |
j-invariant |
L |
7.1538523940741 |
L(r)(E,1)/r! |
Ω |
1.0158229283345 |
Real period |
R |
1.7606051691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2222a1 |
Quadratic twists by: 5 |