Atkin-Lehner |
2- 3+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920bm |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-848815718400000000 = -1 · 224 · 35 · 58 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-170160,-51854400] |
[a1,a2,a3,a4,a6] |
j |
-133026678393614641/207230400000000 |
j-invariant |
L |
3.5657747397504 |
L(r)(E,1)/r! |
Ω |
0.11143043833091 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990w1 |
Quadratic twists by: -4 |