Atkin-Lehner |
7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56749b |
Isogeny class |
Conductor |
56749 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-204451308481164283 = -1 · 76 · 1110 · 67 |
Discriminant |
Eigenvalues |
0 0 -2 7- 11- -4 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-609356,184373780] |
[a1,a2,a3,a4,a6] |
Generators |
[374:-2965:1] |
Generators of the group modulo torsion |
j |
-14124753468260352/115407433603 |
j-invariant |
L |
3.3830029101686 |
L(r)(E,1)/r! |
Ω |
0.31860709161638 |
Real period |
R |
0.88484191534373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5159a1 |
Quadratic twists by: -11 |