Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
101150bk |
Isogeny class |
Conductor |
101150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-35904633887500000 = -1 · 25 · 58 · 7 · 177 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -5 -6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-94075,-14407875] |
[a1,a2,a3,a4,a6] |
Generators |
[1701:68076:1] |
Generators of the group modulo torsion |
j |
-9765625/3808 |
j-invariant |
L |
6.4209805081781 |
L(r)(E,1)/r! |
Ω |
0.13371956368651 |
Real period |
R |
4.0015214918291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101150bu1 5950h1 |
Quadratic twists by: 5 17 |