Atkin-Lehner |
3- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74589k |
Isogeny class |
Conductor |
74589 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
149688 |
Modular degree for the optimal curve |
Δ |
20873060349 = 3 · 236 · 47 |
Discriminant |
Eigenvalues |
2 3- 1 3 -1 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13930,628153] |
[a1,a2,a3,a4,a6] |
Generators |
[-947714750:17486614189:15625000] |
Generators of the group modulo torsion |
j |
2019487744/141 |
j-invariant |
L |
18.462422182614 |
L(r)(E,1)/r! |
Ω |
1.1524368103659 |
Real period |
R |
16.020333621755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
141e1 |
Quadratic twists by: -23 |