Atkin-Lehner |
3+ 5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
101775k |
Isogeny class |
Conductor |
101775 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
148898415234375 = 32 · 58 · 233 · 592 |
Discriminant |
Eigenvalues |
-1 3+ 5- -1 -3 3 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35138,2451656] |
[a1,a2,a3,a4,a6] |
Generators |
[31080:35176:343] [-1170:17531:8] |
Generators of the group modulo torsion |
j |
12282748670785/381179943 |
j-invariant |
L |
6.047993220857 |
L(r)(E,1)/r! |
Ω |
0.57587623316087 |
Real period |
R |
0.29172902446113 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101775l1 |
Quadratic twists by: 5 |