Atkin-Lehner |
2+ 3- 7- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101178t |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
21242523456 = 26 · 310 · 7 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ -2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1638,24948] |
[a1,a2,a3,a4,a6] |
Generators |
[36:90:1] |
Generators of the group modulo torsion |
j |
666940371553/29139264 |
j-invariant |
L |
6.6943544425456 |
L(r)(E,1)/r! |
Ω |
1.1981570060875 |
Real period |
R |
1.3968024217184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33726s1 |
Quadratic twists by: -3 |