Atkin-Lehner |
3+ 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
74175j |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-6727904296875 = -1 · 34 · 59 · 23 · 432 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 0 6 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4717,-6907] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-563:1] |
Generators of the group modulo torsion |
j |
742692847616/430585875 |
j-invariant |
L |
4.7323717421203 |
L(r)(E,1)/r! |
Ω |
0.444873532205 |
Real period |
R |
0.66484790068424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14835c1 |
Quadratic twists by: 5 |