Atkin-Lehner |
2+ 3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130x |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2245632 |
Modular degree for the optimal curve |
Δ |
16053811200000000 = 217 · 34 · 58 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 5 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1639467,-808643331] |
[a1,a2,a3,a4,a6] |
j |
9945716696485183208329/327628800000000 |
j-invariant |
L |
2.1347387500835 |
L(r)(E,1)/r! |
Ω |
0.13342115893398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116130z1 |
Quadratic twists by: -7 |