Atkin-Lehner |
2+ 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336a |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-2752429056 = -1 · 210 · 3 · 13 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -3 -6 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,335,793] |
[a1,a2,a3,a4,a6] |
Generators |
[48:1007:27] |
Generators of the group modulo torsion |
j |
4048192256/2687919 |
j-invariant |
L |
4.6955460168536 |
L(r)(E,1)/r! |
Ω |
0.90048808396453 |
Real period |
R |
5.2144454905177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999747844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336cb1 12792g1 |
Quadratic twists by: -4 8 |