Atkin-Lehner |
2+ 3+ 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950n |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-251766984375000000 = -1 · 26 · 36 · 512 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -6 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,131375,15767125] |
[a1,a2,a3,a4,a6] |
Generators |
[670:41515:8] |
Generators of the group modulo torsion |
j |
16048583565127919/16113087000000 |
j-invariant |
L |
3.4640998315932 |
L(r)(E,1)/r! |
Ω |
0.20533158779189 |
Real period |
R |
4.2176898558935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390s1 |
Quadratic twists by: 5 |