Atkin-Lehner |
3- 5- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75225w |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-95492260546875 = -1 · 35 · 58 · 172 · 592 |
Discriminant |
Eigenvalues |
0 3- 5- -5 -4 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-39083,2997869] |
[a1,a2,a3,a4,a6] |
Generators |
[-221:943:1] [-167:2212:1] |
Generators of the group modulo torsion |
j |
-16902014402560/244460187 |
j-invariant |
L |
8.7291685085839 |
L(r)(E,1)/r! |
Ω |
0.60228287691821 |
Real period |
R |
0.24155782504573 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75225b1 |
Quadratic twists by: 5 |