Atkin-Lehner |
3+ 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475r |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
17337955078125 = 39 · 59 · 11 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5- 4 11+ 4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13500,569531] |
[a1,a2,a3,a4,a6] |
j |
7077888/451 |
j-invariant |
L |
2.7209587570343 |
L(r)(E,1)/r! |
Ω |
0.68023967871056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475x1 101475t1 |
Quadratic twists by: -3 5 |