Atkin-Lehner |
2- 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
113740h |
Isogeny class |
Conductor |
113740 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-106577109760 = -1 · 28 · 5 · 116 · 47 |
Discriminant |
Eigenvalues |
2- 2 5- -2 11- -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5485,158985] |
[a1,a2,a3,a4,a6] |
Generators |
[14616:9801:343] |
Generators of the group modulo torsion |
j |
-40247296/235 |
j-invariant |
L |
10.050699125729 |
L(r)(E,1)/r! |
Ω |
1.0640087951693 |
Real period |
R |
4.7230338509032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
940e1 |
Quadratic twists by: -11 |