Atkin-Lehner |
3- 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
95475i |
Isogeny class |
Conductor |
95475 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
10203890625 = 33 · 56 · 192 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 0 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1101,-13277] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:297:8] |
Generators of the group modulo torsion |
j |
9434056897/653049 |
j-invariant |
L |
11.101389193168 |
L(r)(E,1)/r! |
Ω |
0.83250807257553 |
Real period |
R |
2.2224787881368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3819a1 |
Quadratic twists by: 5 |