Atkin-Lehner |
2+ 3+ 7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
101178f |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
91584 |
Modular degree for the optimal curve |
Δ |
-107097722424 = -1 · 23 · 39 · 7 · 113 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11- -5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15,15749] |
[a1,a2,a3,a4,a6] |
Generators |
[19:139:1] |
Generators of the group modulo torsion |
j |
-19683/5441128 |
j-invariant |
L |
2.7494538440297 |
L(r)(E,1)/r! |
Ω |
0.84231758585355 |
Real period |
R |
0.54402557327363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101178bb1 |
Quadratic twists by: -3 |