Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298u |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
211800746916 = 22 · 36 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1656,13932] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:192:1] |
Generators of the group modulo torsion |
j |
389017/164 |
j-invariant |
L |
6.4589839261151 |
L(r)(E,1)/r! |
Ω |
0.90328809339363 |
Real period |
R |
3.5752624038272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9922d1 738i1 |
Quadratic twists by: -3 -11 |