Atkin-Lehner |
2+ 3+ 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101178d |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
2728156612252667904 = 212 · 33 · 78 · 11 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-421113,-68802835] |
[a1,a2,a3,a4,a6] |
j |
305883797828909542731/101042837490839552 |
j-invariant |
L |
1.5389719004276 |
L(r)(E,1)/r! |
Ω |
0.19237148588455 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101178z1 |
Quadratic twists by: -3 |