Atkin-Lehner |
2- 5- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
98900q |
Isogeny class |
Conductor |
98900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193920 |
Modular degree for the optimal curve |
Δ |
-21263500000000 = -1 · 28 · 59 · 23 · 432 |
Discriminant |
Eigenvalues |
2- 2 5- -3 2 -2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,667,221537] |
[a1,a2,a3,a4,a6] |
Generators |
[67:750:1] |
Generators of the group modulo torsion |
j |
65536/42527 |
j-invariant |
L |
9.3552827277171 |
L(r)(E,1)/r! |
Ω |
0.53056883973836 |
Real period |
R |
1.4693793434279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98900p1 |
Quadratic twists by: 5 |