Atkin-Lehner |
2- 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136bm |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-18276207365151792 = -1 · 24 · 37 · 710 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1307,6503848] |
[a1,a2,a3,a4,a6] |
j |
131072000/9709074963 |
j-invariant |
L |
2.4536325607164 |
L(r)(E,1)/r! |
Ω |
0.30670410836018 |
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 |
25284h1 14448be1 |
Quadratic twists by: -4 -7 |