Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475cd |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
123292125 = 37 · 53 · 11 · 41 |
Discriminant |
Eigenvalues |
2 3- 5- -2 11+ -6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1728885,874978281] |
[a1,a2,a3,a4,a6] |
Generators |
[388680:-251:512] |
Generators of the group modulo torsion |
j |
6271688643866537984/1353 |
j-invariant |
L |
10.482298906282 |
L(r)(E,1)/r! |
Ω |
0.75588264476062 |
Real period |
R |
3.4669068445522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825be1 101475cf1 |
Quadratic twists by: -3 5 |