Atkin-Lehner |
3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
91575x |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-75728804765625 = -1 · 39 · 57 · 113 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11+ 2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8667,-519134] |
[a1,a2,a3,a4,a6] |
Generators |
[554:12548:1] |
Generators of the group modulo torsion |
j |
-6321363049/6648345 |
j-invariant |
L |
9.4408762638522 |
L(r)(E,1)/r! |
Ω |
0.23746749181068 |
Real period |
R |
2.4847812276275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30525k1 18315n1 |
Quadratic twists by: -3 5 |