Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475bw |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-4238166796875 = -1 · 37 · 58 · 112 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 2 11+ 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7500,268906] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-138:1] |
Generators of the group modulo torsion |
j |
-163840000/14883 |
j-invariant |
L |
6.559412267278 |
L(r)(E,1)/r! |
Ω |
0.76115183067019 |
Real period |
R |
0.71814540568257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999765312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825j1 101475bc1 |
Quadratic twists by: -3 5 |