Atkin-Lehner |
2+ 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
102336bk |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
8488157184 = 216 · 35 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 -5 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-577,-3169] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:36:1] [-13:48:1] |
Generators of the group modulo torsion |
j |
324730948/129519 |
j-invariant |
L |
9.5076404913568 |
L(r)(E,1)/r! |
Ω |
1.0080791554398 |
Real period |
R |
0.47157212011196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336ca1 12792d1 |
Quadratic twists by: -4 8 |