Atkin-Lehner |
2- 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123760bi |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
2955856117760 = 216 · 5 · 74 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 4 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7307,-225734] |
[a1,a2,a3,a4,a6] |
j |
10533703412961/721644560 |
j-invariant |
L |
2.074401646542 |
L(r)(E,1)/r! |
Ω |
0.51860037750338 |
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 |
15470o1 |
Quadratic twists by: -4 |