Atkin-Lehner |
2- 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230w |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
377612221747200 = 212 · 3 · 52 · 113 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22581,-921381] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:300:1] |
Generators of the group modulo torsion |
j |
1273369450418524369/377612221747200 |
j-invariant |
L |
5.2333381997666 |
L(r)(E,1)/r! |
Ω |
0.3983564455415 |
Real period |
R |
2.1895542122051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81840cw1 30690q1 51150w1 112530i1 |
Quadratic twists by: -4 -3 5 -11 |