Atkin-Lehner |
3- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
101175n |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1010169140625 = 33 · 58 · 19 · 712 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 6 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6088,-176833] |
[a1,a2,a3,a4,a6] |
Generators |
[187:2194:1] |
Generators of the group modulo torsion |
j |
1597099875769/64650825 |
j-invariant |
L |
6.2361689249455 |
L(r)(E,1)/r! |
Ω |
0.5418305148617 |
Real period |
R |
3.8364819150669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001772 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20235d1 |
Quadratic twists by: 5 |