Atkin-Lehner |
2- 3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
108240s |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-1885973760 = -1 · 28 · 33 · 5 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,124,1980] |
[a1,a2,a3,a4,a6] |
j |
817036976/7367085 |
j-invariant |
L |
1.0852609498247 |
L(r)(E,1)/r! |
Ω |
1.0852609654754 |
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 |
27060i1 |
Quadratic twists by: -4 |