Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136de |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
870293889024 = 213 · 3 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -2 3 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3152,50196] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:294:1] |
Generators of the group modulo torsion |
j |
7189057/1806 |
j-invariant |
L |
7.0594678746162 |
L(r)(E,1)/r! |
Ω |
0.83264074439477 |
Real period |
R |
1.0598009883521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642x1 14448q1 |
Quadratic twists by: -4 -7 |