Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680u |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-45266018616000 = -1 · 26 · 314 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8310,432900] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:810:1] |
Generators of the group modulo torsion |
j |
-991742831775424/707281540875 |
j-invariant |
L |
7.5137866826315 |
L(r)(E,1)/r! |
Ω |
0.5885996397294 |
Real period |
R |
0.3039412035696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bn1 87360g2 |
Quadratic twists by: -4 8 |