Atkin-Lehner |
2+ 3+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
102366a |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-3378078 = -1 · 2 · 33 · 113 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11+ -2 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-138,666] |
[a1,a2,a3,a4,a6] |
Generators |
[3:15:1] |
Generators of the group modulo torsion |
j |
-8120601/94 |
j-invariant |
L |
3.9225376715966 |
L(r)(E,1)/r! |
Ω |
2.5191899932578 |
Real period |
R |
0.38926576296455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102366y1 102366x1 |
Quadratic twists by: -3 -11 |