Atkin-Lehner |
2- 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
113760be |
Isogeny class |
Conductor |
113760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
160768 |
Modular degree for the optimal curve |
Δ |
-336528699840 = -1 · 26 · 33 · 5 · 794 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12477,537156] |
[a1,a2,a3,a4,a6] |
j |
-124311268821312/194750405 |
j-invariant |
L |
3.8438769627844 |
L(r)(E,1)/r! |
Ω |
0.96096928798733 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113760f1 113760d1 |
Quadratic twists by: -4 -3 |