Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
102366m |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2670755759892 = -1 · 22 · 36 · 117 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 5 11- 3 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12546,549720] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-150:1] |
Generators of the group modulo torsion |
j |
-169112377/2068 |
j-invariant |
L |
7.594995380665 |
L(r)(E,1)/r! |
Ω |
0.81217814922864 |
Real period |
R |
1.1689238590005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11374l1 9306o1 |
Quadratic twists by: -3 -11 |