Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360cq |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-31434480 = -1 · 24 · 36 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 3 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100,-505] |
[a1,a2,a3,a4,a6] |
j |
-142476544/40095 |
j-invariant |
L |
4.4603151926314 |
L(r)(E,1)/r! |
Ω |
0.74338610136871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64680cc1 129360b1 |
Quadratic twists by: -4 -7 |