Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100188bk |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-15683587015536 = -1 · 24 · 37 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6171,-38599] |
[a1,a2,a3,a4,a6] |
Generators |
[88:1089:1] |
Generators of the group modulo torsion |
j |
1257728/759 |
j-invariant |
L |
3.7839452350945 |
L(r)(E,1)/r! |
Ω |
0.40591376967968 |
Real period |
R |
1.1652552589011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33396f1 9108s1 |
Quadratic twists by: -3 -11 |