Atkin-Lehner |
2- 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
100430bk |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-459396547280 = -1 · 24 · 5 · 112 · 834 |
Discriminant |
Eigenvalues |
2- 1 5- -3 11- 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4375,-116423] |
[a1,a2,a3,a4,a6] |
Generators |
[528:11771:1] |
Generators of the group modulo torsion |
j |
-76538283476281/3796665680 |
j-invariant |
L |
11.732740650304 |
L(r)(E,1)/r! |
Ω |
0.29266495061923 |
Real period |
R |
2.5055828792422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100430i1 |
Quadratic twists by: -11 |