Atkin-Lehner |
2- 3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100572g |
Isogeny class |
Conductor |
100572 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
1564095744 = 28 · 36 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 6 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-317,1161] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:54:1] |
Generators of the group modulo torsion |
j |
47767552/21141 |
j-invariant |
L |
5.4123467549764 |
L(r)(E,1)/r! |
Ω |
1.3530018368342 |
Real period |
R |
0.66670847787053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100572l1 |
Quadratic twists by: 17 |