Atkin-Lehner |
2- 3+ 7+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818x |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-33261435648 = -1 · 28 · 39 · 7 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 3 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2000,36019] |
[a1,a2,a3,a4,a6] |
Generators |
[37:89:1] |
Generators of the group modulo torsion |
j |
-44928178875/1689856 |
j-invariant |
L |
10.951421014458 |
L(r)(E,1)/r! |
Ω |
1.1581953274941 |
Real period |
R |
0.59097441963793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118818c1 |
Quadratic twists by: -3 |