Atkin-Lehner |
2- 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127100d |
Isogeny class |
Conductor |
127100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
140160 |
Modular degree for the optimal curve |
Δ |
-635500000000 = -1 · 28 · 59 · 31 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- 1 -1 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-333,38537] |
[a1,a2,a3,a4,a6] |
j |
-8192/1271 |
j-invariant |
L |
5.9686902872482 |
L(r)(E,1)/r! |
Ω |
0.74608635169654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127100e1 |
Quadratic twists by: 5 |