Atkin-Lehner |
3- 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
93075m |
Isogeny class |
Conductor |
93075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-94565654296875 = -1 · 33 · 510 · 173 · 73 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,11367,-32731] |
[a1,a2,a3,a4,a6] |
Generators |
[3:37:1] |
Generators of the group modulo torsion |
j |
10394486964224/6052201875 |
j-invariant |
L |
4.9652263606098 |
L(r)(E,1)/r! |
Ω |
0.35527443555622 |
Real period |
R |
2.3292915164923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999758392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18615e1 |
Quadratic twists by: 5 |