Atkin-Lehner |
3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475l |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
348209876953125 = 33 · 59 · 115 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 11- 6 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-159300,24455656] |
[a1,a2,a3,a4,a6] |
Generators |
[170:1512:1] |
Generators of the group modulo torsion |
j |
1059710528913408/825386375 |
j-invariant |
L |
6.7246824536321 |
L(r)(E,1)/r! |
Ω |
0.53495905470692 |
Real period |
R |
0.62852309959087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999840292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475b1 20295h1 |
Quadratic twists by: -3 5 |